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Publications results for "All publications entered last month AND classification =
(11)"
MR 3498958 Lapkova, K. On the k -free values of the polynomial
Math. Hungar. 149 (2016), no. 1, 190–207.
xy
k
+ C
. Acta
MR 3498954 Mazzoli, M. Non-commutative digit expansions for arithmetic on
supersingular elliptic curves. Acta Math. Hungar. 149 (2016), no. 1, 149–159.
MR 3498948 Bazzanella, D. A note on integer polynomials with small integrals.
II. Acta Math. Hungar. 149 (2016), no. 1, 71–81.
MR 3498942 Miyazaki, T.; Togbé, A.; Yuan, P. On the Diophantine equation
a + b = (a + 2) . Acta Math. Hungar. 149 (2016), no. 1, 1–9.
x
y
z
MR 3498869 Diao, Hansheng; Liu, Ruochuan The eigencurve is proper. Duke
Math. J. 165 (2016), no. 7, 1381–1395.
MR 3498617 Griffin, Michael J.; Jameson, Marie; Trebat-Leder, Sarah On p-adic
modular forms and the Bloch-Okounkov theorem. Res. Math. Sci. 3 (2016), Art.
11, 14 pp.
MR 3498616 Bringmann, Kathrin; Rolen, Larry; Zwegers, Sander On the Fourier
coefficients of negative index meromorphic Jacobi forms. Res. Math. Sci. 3
(2016), Art. 5, 9 pp.
MR 3498287 Breeding, Jeffery, II; Poor, Cris; Yuen, David S. Computations of
spaces of paramodular forms of general level. J. Korean Math. Soc. 53 (2016), no.
3, 645–689.
MR 3498280 Lee, Sang June On Sidon sets in a random set of vectors. J. Korean
Math. Soc. 53 (2016), no. 3, 503–517.
MR 3498111 Gallenkämper, Jonas; Heim, Bernhard; Krieg, Aloys The Maaß space
and Hecke operators. Internat. J. Math. 27 (2016), no. 5, 1650039, 8 pp.
MR 3492979 Wang, Bao-Wei; Wu, Jun; Xu, Jian A generalization of the JarníkBesicovitch theorem by continued fractions. Ergodic Theory Dynam. Systems 36
(2016), no. 4, 1278–1306.
MR 3498547 Komatsu, T.; Mező, I. Several explicit formulae of Cauchy
polynomials in terms of r-Stirling numbers. Acta Math. Hungar. 148 (2016), no. 2,
522–529.
MR 3498542 Phong, B. M. A characterization of the identity with functional
equations. II. Acta Math. Hungar. 148 (2016), no. 2, 450–465.
MR 3498534 Bayad, A.; Filipin, A.; Togbé, A. Extension of a parametric family of
Diophantine triples in Gaussian integers. Acta Math. Hungar. 148 (2016), no. 2,
312–327.
MR 3498158 Izadi, F.; Nabardi, K. On Silverman's conjecture for a family of
elliptic curves. Bull. Iranian Math. Soc. 42 (2016), no. 2, 331–340.
MR 3497996 Štampach, F. Nevanlinna extremal measures for polynomials related
to q -Fibonacci polynomials. Adv. in Appl. Math. 78 (2016), 56–75.
−1
MR 3497966 Giulietti, Massimo; Quoos, Luciane; Zini, Giovanni Maximal curves
from subcovers of the GK-curve. J. Pure Appl. Algebra 220 (2016), no. 10, 3372–
3383.
MR 3497964 Mason, A. W.; Schweizer, Andreas Genuine non-congruence
subgroups of Drinfeld modular groups. J. Pure Appl. Algebra 220 (2016), no. 10,
3345–3362.
MR 3494801 Yang, Hai; Pei, Yuan Tai; Fu, Rui Qin The Diophantine equation
(a − 1)((a + 1) − 1) = x . (Chinese) Xiamen Daxue Xuebao Ziran Kexue Ban 55
(2016), no. 1, 91–93.
n
n
2
MR 3494178 Kozioł, Karol A classification of the irreducible mod-p
representations of U(1, 1)(Q /Q ). Ann. Inst. Fourier (Grenoble) 66 (2016), no.
4, 1545–1582.
2
p
p
MR 3492629 Gras, Georges Les θ-régulateurs locaux d'un nombre algébrique:
conjectures p-adiques. (French) [The local θ-regulators of an algebraic number: padic conjectures] Canad. J. Math. 68 (2016), no. 3, 571–624.
MR 3494486 Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher Arithmetic
groups, base change, and representation growth. Geom. Funct. Anal. 26 (2016),
no. 1, 67–135.
MR 3494135 Karaatli, Olcay The terms of the form 7kx in the generalized Lucas
sequence with parameters P and Q . Acta Arith. 173 (2016), no. 1, 81–95.
2
MR 3494134 Faure, Henri; Lemieux, Christiane Irreducible Sobol' sequences in
prime power bases. Acta Arith. 173 (2016), no. 1, 59–80.
MR 3494133 Fuchs, Michael; Kim, Dong Han On Kurzweil's 0-1 law in
inhomogeneous Diophantine approximation. Acta Arith. 173 (2016), no. 1, 41–57.
MR 3494132 Hooley, C. On the representation of numbers by quarternary and
quinary cubic forms: I. Acta Arith. 173 (2016), no. 1, 19–39.
MR 3494131 Choie, Youngju; Lim, Subong Shimura lifting on weak Maass forms.
Acta Arith. 173 (2016), no. 1, 1–18.
MR 3493443 Kozioł, Karol Pro-p-Iwahori invariants for SL and L-packets of
Hecke modules. Int. Math. Res. Not. IMRN 2016, no. 4, 1090–1125.
2
MR 3490565 Hart, William B. Class invariants from a new kind of Weber-like
modular equation. Ramanujan J. 40 (2016), no. 2, 413–446.
MR 3490564 Mouhib, A. A positive proportion of some quadratic number fields
with infinite Hilbert 2-class field tower. Ramanujan J. 40 (2016), no. 2, 405–412.
MR 3490563 Xia, Ernest X. W. Infinite families of congruences modulo 7 for
broken 3-diamond partitions. Ramanujan J. 40 (2016), no. 2, 389–403.
MR 3490562 Zhou, Yajun Ramanujan series for Epstein zeta functions.
Ramanujan J. 40 (2016), no. 2, 367–388.
MR 3490561 Toh, Pee Choon On certain pairs of q -series identities. Ramanujan J.
40 (2016), no. 2, 359–365.
MR 3490558 Chen, William Y. C.; Hou, Qing-Hu; Sun, Lisa H.; Zhang, Li
Ramanujan-type congruences for overpartitions modulo 16. Ramanujan J. 40
(2016), no. 2, 311–322.
MR 3490555 Wan, J. G.; Zucker, I. J. Integrals of
Ramanujan J. 40 (2016), no. 2, 257–278.
K
and
E
from lattice sums.
MR 3490554 Yang, Shichun; Togbé, Alain On the estimates of the upper and
lower bounds of Ramanujan primes. Ramanujan J. 40 (2016), no. 2, 245–255.
MR 3490553 Chen, Yungui; Xie, Xiaoyan; He, Bing On some congruences of
certain binomial sums. Ramanujan J. 40 (2016), no. 2, 237–244.
MR 3490552 Hirschhorn, Michael D. On the 2- and 4-dissections of the RogersRamanujan functions. Ramanujan J. 40 (2016), no. 2, 227–235.
MR 3488109 Levin, Mordechay B. On the lower bound of the discrepancy of
Halton's sequence I. C. R. Math. Acad. Sci. Paris 354 (2016), no. 5, 445–448.
MR 3494435 Maruyama, Noriko Some arithmetic properties of the CWL invariant.
Topology Appl. 206 (2016), 115–125.
MR 3493965 Erdélyi, Tamás The Mahler measure of the Rudin-Shapiro
polynomials. Constr. Approx. 43 (2016), no. 3, 357–369.
MR 3493818 Tang, Min; Ma, Xiaoyan; Feng, Min On near-perfect numbers. Colloq.
Math. 144 (2016), no. 2, 157–188.
MR 3493436 Keating, Jonathan P.; Roditty-Gershon, Edva Arithmetic correlations
over large finite fields. Int. Math. Res. Not. IMRN 2016, no. 3, 860–874.
MR 3493299 Naika, M. S. Mahadeva; Gireesh, D. S. Congruences for 3-regular
partitions with designated summands. Integers 16 (2016), Paper No. A25, 14 pp.
MR 3493297 Andrews, George E.; Deutsch, Emeric A note on a method of Erdős
and the Stanley-Elder theorems. Integers 16 (2016), Paper No. A24, 5 pp.
MR 3489080 Holowinsky, Roman; Munshi, Ritabrata; Qi, Zhi Hybrid subconvexity
bounds for L( , Sym f ⊗ g) . Math. Z. 283 (2016), no. 1-2, 555–579.
1
2
2
MR 3489079 Böcherer, Siegfried; Das, Soumya Cuspidality and the growth of
Fourier coefficients: small weights. Math. Z. 283 (2016), no. 1-2, 539–553.
MR 3489074 Moy, Allen; Muić, Goran On the cusp forms of congruence subgroups
of an almost simple Lie group. Math. Z. 283 (2016), no. 1-2, 401–417.
MR 3489062 Roy, Damien Spectrum of the exponents of best rational
approximation. Math. Z. 283 (2016), no. 1-2, 143–155.
MR 3493528 Gu, Ting; Klapper, Andrew Statistical properties of half-ℓ-sequences.
Cryptogr. Commun. 8 (2016), no. 3, 383–400.
MR 3493527 Cheng, Yuan; Qi, Wen-Feng; Zheng, Qun-Xiong; Yang, Dong On the
distinctness of primitive sequences over Z/(p q) modulo 2. Cryptogr. Commun. 8
(2016), no. 3, 371–381.
e
MR 3493426 Brent, Richard P.; Coons, Michael; Zudilin, Wadim Algebraic
independence of Mahler functions via radial asymptotics. Int. Math. Res. Not.
IMRN 2016, no. 2, 571–603.
MR 3493372 Freitas, Nuno On the Fermat-type equation
Math. Helv. 91 (2016), no. 2, 295–304.
3
x
+ y
3
= z
p
. Comment.
MR 3493310 de Vries, Martijn; Komornik, Vilmos; Loreti, Paola Topology of the
set of univoque bases. Topology Appl. 205 (2016), 117–137.
MR 3492989 Wright, Thomas Factors of Carmichael numbers and a weak
conjecture. J. Aust. Math. Soc. 100 (2016), no. 3, 421–429.
k
-tuples
MR 3492983 Baccar, N. Sets with even partition functions and cyclotomic
numbers. J. Aust. Math. Soc. 100 (2016), no. 3, 289–302.
MR 3492964 Axler, Christian New bounds for the prime counting function.
Integers 16 (2016), Paper No. A22, 15 pp.
MR 3492265 Yaqubi, Daniel; Mirzavaziri, Madjid; Saeednezhad, Yasin Mixed rStirling numbers of the second kind. Online J. Anal. Comb. No. 11 (2016), 9 pp.
MR 3491748 Dossavi-Yovo, Appolinaire; Luca, Florian; Togbé, Alain On the x coordinates of Pell equations which are rep-digits. Publ. Math. Debrecen 88
(2016), no. 3-4, 381–399.
MR 3491746 Komatsu, Takao; Liptai, Kálmán; Mező, István Incomplete polyBernoulli numbers associated with incomplete Stirling numbers. Publ. Math.
Debrecen 88 (2016), no. 3-4, 357–368.
MR 3491744 Lemmermeyer, Franz Hilbert 2-class fields and 2-descent. Publ.
Math. Debrecen 88 (2016), no. 3-4, 319–343.
MR 3490953 Arike, Yusuke; Kaneko, Masanobu; Nagatomo, Kiyokazu; Sakai,
Yuichi Affine vertex operator algebras and modular linear differential equations.
Lett. Math. Phys. 106 (2016), no. 5, 693–718.
MR 3492814 Byeon, Dongho; Jeong, Keunyoung Infinitely many elliptic curves of
rank exactly two. Proc. Japan Acad. Ser. A Math. Sci. 92 (2016), no. 5, 64–66.
MR 3492801 Asada, Mamoru On some properties of Galois groups of unramified
extensions. Osaka J. Math. 53 (2016), no. 2, 321–330.
MR 3468948 He, Yuan; Pan, Jing Some recursion formulae for the number of
derangements and Bell numbers. J. Math. Res. Appl. 36 (2016), no. 1, 15–22.
MR 3491988 Wang, Qi; Fan, Xiubin; Zang, Hongyan; Wang, Yu The space
complexity analysis in the general number field sieve integer factorization.
Theoret. Comput. Sci. 630 (2016), 76–94.
MR 3491888 Schindler, Damaris Manin's conjecture for certain biprojective
hypersurfaces. J. Reine Angew. Math. 714 (2016), 209–250.
MR 3490487 Nishioka, Kumiko; Nishioka, Seiji Autonomous equations of Mahler
type and transcendence. Tsukuba J. Math. 39 (2016), no. 2, 251–257.
MR 3483482 Liao, Qunying Some new permutation polynomials over finite fields.
Adv. Math. (China) 45 (2016), no. 1, 57–60.
MR 3495067 Kim, Dae San; Kim, Taekyun; Dolgy, Dmitry V. On Carlitz's
degenerate Euler numbers and polynomials. J. Comput. Anal. Appl. 21 (2016), no.
4, 738–742.
MR 3494988 Ash, Avner; Gross, Robert Summing it up. From one plus one to
modern number theory. Princeton University Press, Princeton, NJ, 2016. xiii+229
pp. ISBN: 978-0-691-17019-0
MR 3490466 Sutherland, Nicole Efficient computation of maximal orders in ArtinSchreier-Witt extensions. J. Symbolic Comput. 77 (2016), 189–216.
MR 3490465 Vaskouski, Maksim; Kondratyonok, Nikita Shortest division chains in
unique factorization domains. J. Symbolic Comput. 77 (2016), 175–188.
MR 3482847 Jin, Seokho; Ma, Wenjun; Ono, Ken; Soundararajan, Kannan
Riemann hypothesis for period polynomials of modular forms. Proc. Natl. Acad.
Sci. USA 113 (2016), no. 10, 2603–2608.
MR 3479592 Yang, Li; Hu, Liqun Diagonal diophantine equations with small
prime variables. J. Math. Anal. Appl. 440 (2016), no. 1, 145–154.
MR 3469500 Kim, Taekyun; Dolgy, Dmitry V.; Kim, Dae San A note on Barnestype Boole polynomials with λ -parameter. J. Comput. Anal. Appl. 21 (2016), no.
6, 1127–1134.
MR 3489750 Coşgun, Ayhan; Özbudak, Ferruh; Saygı, Zülfükar Further results on
− α over F
rational points of the curve y − y = γx
. Des. Codes Cryptogr.
79 (2016), no. 3, 423–441.
q
n
q
h
+1
q
m
MR 3489592 Chan, Wai Kiu; Fukshansky, Lenny; Henshaw, Glenn R. Totally
isotropic subspaces of small height in quadratic spaces. Adv. Geom. 16 (2016),
no. 2, 153–164.
MR 3489206 Voloch, José Felipe Planar surfaces in positive characteristic. São
Paulo J. Math. Sci. 10 (2016), no. 1, 1–8.
MR 3486000 Seki, Shin-ichiro Congruences modulo
Ramanujan J. 40 (2016), no. 1, 201–205.
3
10
for Euler numbers.
MR 3485999 Hirschhorn, Michael D.; Sellers, James A. Infinitely many
congruences modulo 5 for 4-colored Frobenius partitions. Ramanujan J. 40 (2016),
no. 1, 193–200.
MR 3485998 Cao, Jian Homogeneous q -difference equations and generating
functions for q -hypergeometric polynomials. Ramanujan J. 40 (2016), no. 1, 177–
192.
MR 3485996 Lü, Guangshi; Wu, Jie; Zhai, Wenguang Shifted convolution of cuspforms with θ-series. Ramanujan J. 40 (2016), no. 1, 115–133.
MR 3485994 He, Bing; Wang, Kan Some congruences on q -Catalan numbers.
Ramanujan J. 40 (2016), no. 1, 93–101.
MR 3485992 Pollack, Paul A remark on divisor-weighted sums. Ramanujan J. 40
(2016), no. 1, 63–69.
MR 3485990 Bellaïche, Joël; Nicolas, Jean-Louis Parité des coefficients de formes
modulaires. (French) [Parity of the coefficients of modular forms] Ramanujan J.
40 (2016), no. 1, 1–44.
MR 3477922 Lario, Joan-C. Al-Karají and I. (Spanish) Gac. R. Soc. Mat. Esp. 19
(2016), no. 1, 133–149.
MR 3477916 Cao Labora, Daniel; Macías Virgós, Enrique; Regueiro Torres, Miguel
A. Quaternionic equations. (Spanish) Gac. R. Soc. Mat. Esp. 19 (2016), no. 1, 47–
66.
MR 3467682 Kim, Dae San; Kim, Taekyun Symmetry identities of higher-order q Euler polynomials under the symmetric group of degree four. J. Comput. Anal.
Appl. 21 (2016), no. 3, 521–527.
MR 3495035 Lim, Dongkyu Modified q -Daehee numbers and polynomials. J.
Comput. Anal. Appl. 21 (2016), no. 2, 324–330.
MR 3495031 Park, Jin-Woo On the special twisted q -polynomials. J. Comput.
Anal. Appl. 21 (2016), no. 2, 283–292.
MR 3491493 Sutherland, Nicole Algorithms for Galois extensions of global
function fields. Bull. Aust. Math. Soc. 93 (2016), no. 3, 513–515.
MR 3491482 Zaïmi, T.; Bertin, M. J.; Aljouiee, A. M. On number fields without a
unit primitive element. Bull. Aust. Math. Soc. 93 (2016), no. 3, 420–432.
MR 3491481 Boll, Eric; Penniston, David The 7-regular and 13-regular partition
functions modulo 3. Bull. Aust. Math. Soc. 93 (2016), no. 3, 410–419.
MR 3491480 Mahadeva Naika, M. S.; Hemanthkumar, B.; Sumanth Bharadwaj, H.
S. Congruences modulo 2 for certain partition functions. Bull. Aust. Math. Soc. 93
(2016), no. 3, 400–409.
MR 3491478 Bundschuh, Peter; Väänänen, Keijo Arithmetic properties of infinite
products of cyclotomic polynomials. Bull. Aust. Math. Soc. 93 (2016), no. 3, 375–
387.
MR 3491477 Marques, Diego; Ramirez, Josimar; Silva, Elaine A note on lacunary
power series with rational coefficients. Bull. Aust. Math. Soc. 93 (2016), no. 3,
372–374.
MR 3491476 Shparlinski, Igor E. Systems of congruences with products of
variables from short intervals. Bull. Aust. Math. Soc. 93 (2016), no. 3, 364–371.
MR 3482392 Drmota, Michael; Kauers, Manuel; Spiegelhofer, Lukas On a
conjecture of Cusick concerning the sum of digits of n and n + t. SIAM J. Discrete
Math. 30 (2016), no. 2, 621–649.
MR 3473545 Fang, Jiangxue Equivariant trace formula mod p. C. R. Math. Acad.
Sci. Paris 354 (2016), no. 4, 335–338.
MR 3488559 Pellarin, F.; Perkins, R. B. On certain generating functions in
positive characteristic. Monatsh. Math. 180 (2016), no. 1, 123–144.
MR 3488557 Mérai, László On the typical values of the cross-correlation measure.
Monatsh. Math. 180 (2016), no. 1, 83–99.
MR 3488556 Liao, Lingmin; Rams, Michał Upper and lower fast Khintchine spectra
in continued fractions. Monatsh. Math. 180 (2016), no. 1, 65–81.
MR 3488152 Iizuka, Yoshichika; Konomi, Yutaka; Nakano, Shin On the class
number divisibility of pairs of quadratic fields obtained from points on elliptic
curves. J. Math. Soc. Japan 68 (2016), no. 2, 899–915.
MR 3488147 Deitmar, Anton; Kang, Ming-Hsuan Zeta functions of
Math. Soc. Japan 68 (2016), no. 2, 807–822.
F1
-buildings. J.
MR 3488137 González, Josep; Molina, Santiago The kernel of Ribet's isogeny for
genus three Shimura curves. J. Math. Soc. Japan 68 (2016), no. 2, 609–635.
MR 3482767 Kim, T.; Kim, D. S. A note on nonlinear Changhee differential
equations. Russ. J. Math. Phys. 23 (2016), no. 1, 88–92.
MR 3482359 Ramírez, José L. An identity of Carlitz and its generalization. Amer.
Math. Monthly 123 (2016), no. 3, 295.
MR 3482355 Butler, Steve; Graham, Ron; Stong, Richard Inserting plus signs and
adding. Amer. Math. Monthly 123 (2016), no. 3, 274–279.
MR 3482354 Kimberling, Clark; Stolarsky, Kenneth B. Slow Beatty sequences,
devious convergence, and partitional divergence. Amer. Math. Monthly 123
(2016), no. 3, 267–273.
MR 3481230 Stepanauskas, Gediminas; Žvinytė, Laura Discrete uniform limit law
for additive functions on shifted primes. Nonlinear Anal. Model. Control 21
(2016), no. 4, 437–447.
MR 3481179 Bourgain, Jean On the Fourier-Walsh spectrum of the Moebius
function, II. J. Anal. Math. 128 (2016), 355–367.
MR 3487309 Mangontarum, Mahid M.; Cauntongan, Omar I.; Macodi-Ringia, Amila
P. The noncentral version of the Whitney numbers: a comprehensive study. Int. J.
Math. Math. Sci. 2016, Art. ID 6206207, 16 pp.
MR 3484373 Kohen, Daniel; Pacetti, Ariel Heegner points on Cartan non-split
curves. Canad. J. Math. 68 (2016), no. 2, 422–444.
MR 3484371 Fité, Francesc; González, Josep; Lario, Joan-Carles Frobenius
distribution for quotients of Fermat curves of prime exponent. Canad. J. Math. 68
(2016), no. 2, 361–394.
MR 3483651 Hong, Siao; Hu, Shuangnian; Hong, Shaofang Multiple gcd-closed
sets and determinants of matrices associated with arithmetic functions. Open
Math. 14 (2016), 146–155.
MR 3483117 Lalín, Matilde; Samart, Detchat; Zudilin, Wadim Further explorations
of Boyd's conjectures and a conductor 21 elliptic curve. J. Lond. Math. Soc. (2) 93
(2016), no. 2, 341–360.
MR 3487218 Shparlinski, Igor E. Linear congruences with ratios. Proc. Amer.
Math. Soc. 144 (2016), no. 7, 2837–2846.
MR 3487213 Galateau, Aurélien Small height in fields generated by singular
moduli. Proc. Amer. Math. Soc. 144 (2016), no. 7, 2771–2786.
MR 3487212 Cass, Robert The Chowla-Selberg formula for quartic abelian CM
fields. Proc. Amer. Math. Soc. 144 (2016), no. 7, 2753–2769.
MR 3486754 Szczyrba, Igor; Szczyrba, Rafał; Burtscher, Martin Geometric
representations of the n -anacci constants and generalizations thereof. J. Integer
Seq. 19 (2016), no. 3, Article 16.3.8, 15 pp.
MR 3486753 Brent, Richard P.; Ohtsuka, Hideyuki; Osborn, Judy-anne H.;
Prodinger, Helmut Some binomial sums involving absolute values. J. Integer Seq.
19 (2016), no. 3, Article 16.3.7, 14 pp.
MR 3486752 Rudolph-Lilith, Michelle On the product representation of number
sequences, with applications to the family of generalized Fibonacci numbers. J.
Integer Seq. 19 (2016), no. 3, Article 16.3.6, 24 pp.
MR 3486751 Barry, Paul Jacobsthal decompositions of Pascal's triangle, ternary
trees, and alternating sign matrices. J. Integer Seq. 19 (2016), no. 3, Article
16.3.5, 63 pp.
MR 3486750 Ji, Xiao-Juan Two properties of Catalan-Larcombe-French numbers.
J. Integer Seq. 19 (2016), no. 3, Article 16.3.4, 13 pp.
MR 3486749 Anders, Katie Counting non-standard binary representations. J.
Integer Seq. 19 (2016), no. 3, Article 16.3.3, 15 pp.
MR 3486748 Ransford, Julian A sum of gcd's over friable numbers. J. Integer Seq.
19 (2016), no. 3, Article 16.3.2, 13 pp.
MR 3486747 Nguyen, Quynh; Pedersen, Jean; Vu, Hien T. New integer sequences
arising from 3-period folding numbers. J. Integer Seq. 19 (2016), no. 3, Article
16.3.1, 19 pp.
MR 3486286 Chung, Chan-Liang; Eie, Minking; Lee, Tung-Yang Another
expression of the restricted sum formula of multiple zeta values. J. Number
Theory 166 (2016), 452–472.
MR 3486285 Vandehey, Joseph New normality constructions for continued
fraction expansions. J. Number Theory 166 (2016), 424–451.
MR 3486284 Lettl, Günter; Prabpayak, Chanwit Orders in cubic number fields. J.
Number Theory 166 (2016), 415–423.
MR 3486283 He, Bing Some congruences on conjectures of van Hamme. J.
Number Theory 166 (2016), 406–414.
MR 3486282 Li, Jin-Kai; Chen, Yong-Gao Critical numbers of intervals. J. Number
Theory 166 (2016), 400–405.
MR 3486281 Gustafsson, Henrik P. A.; Kleinschmidt, Axel; Persson, Daniel Small
automorphic representations and degenerate Whittaker vectors. J. Number Theory
166 (2016), 344–399.
MR 3486279 Choi, SoYoung; Im, Bo-Hae On the zeros of certain weakly
holomorphic modular forms for Γ (2). J. Number Theory 166 (2016), 298–323.
+
0
MR 3486278 Liu, Chunlei; Liu, Wenxin; Niu, Chuanze Generic T -adic exponential
sums in one variable. J. Number Theory 166 (2016), 276–297.
MR 3486277 Kritzinger, Ralph; Kritzinger, Lisa M. L discrepancy of symmetrized
generalized Hammersley point sets in base b. J. Number Theory 166 (2016), 250–
275.
2
MR 3486276 Kim, Kwang-Seob Some examples of real quadratic fields with finite
nonsolvable maximal unramified extensions. J. Number Theory 166 (2016), 235–
249.
MR 3486275 Hu, Hui; Tong, Xin; Yu, Yueli On consecutive 0 digits in the
expansion of 1. J. Number Theory 166 (2016), 219–234.
MR 3486274 Bahmanpour, Kamal Prime numbers p with expression
p = a ± ab ± b . J. Number Theory 166 (2016), 208–218.
2
2
β
-
MR 3486273 Kala, Vítězslav Norms of indecomposable integers in real quadratic
fields. J. Number Theory 166 (2016), 193–207.
MR 3486272 Sun, Liang Class numbers of quadratic Diophantine equations. J.
Number Theory 166 (2016), 181–192.
MR 3486271 Ma, Ding Inverse of some matrix related to double zeta values of
odd weight. J. Number Theory 166 (2016), 166–180.
MR 3486270 Hatley, Jeffrey Modular forms of arbitrary even weight with no
exceptional primes. J. Number Theory 166 (2016), 158–165.
MR 3486268 Gun, Sanoli; Murty, V. Kumar; Saha, Ekata Linear and algebraic
independence of generalized Euler-Briggs constants. J. Number Theory 166
(2016), 117–136.
MR 3486267 Tóth, László Counting r-tuples of positive integers with k -wise
relatively prime components. J. Number Theory 166 (2016), 105–116.
MR 3486266 Bondarenko, Andriy; Hilberdink, Titus; Seip, Kristian Gál-type GCD
sums beyond the critical line. J. Number Theory 166 (2016), 93–104.
MR 3486265 Howe, Everett W. Optimal quotients and surjections of Mordell-Weil
groups. J. Number Theory 166 (2016), 85–92.
MR 3486264 Chakraborty, Debopam; Saikia, Anupam Congruence relations for the
fundamental unit of a pure cubic field and its class number. J. Number Theory 166
(2016), 76–84.
MR 3486263 Kim, Sungjin Average reciprocals of the order of
Number Theory 166 (2016), 62–75.
a
modulo
n
. J.
MR 3486262 Jakhar, Anuj; Khanduja, Sudesh K.; Sangwan, Neeraj On prime
divisors of the index of an algebraic integer. J. Number Theory 166 (2016), 47–
61.
MR 3486261 Sanna, Carlo On the p-adic valuation of harmonic numbers. J.
Number Theory 166 (2016), 41–46.
MR 3486258 Kane, Ben; Waldherr, Matthias Explicit congruences for mock
modular forms. J. Number Theory 166 (2016), 1–18.
MR 3486132 Odžak, Almasa On the asymptotic criterion for the zero-free regions
of certain
L
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MR 3481262 Hu, Yongquan Valeurs spéciales de paramètres de diagrammes de
Diamond. (French) [Special values of parameters in Diamond diagrams] Bull. Soc.
Math. France 144 (2016), no. 1, 77–115.
MR 3475098 Irmak, Nurettin; Szalay, László Tribonacci numbers close to the sum
2 + 3 + 5 . Math. Scand. 118 (2016), no. 1, 27–32.
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MR 3486071 Hida, Takanori Ducci sequences of triples and continued fractions. J.
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MR 3485880 Flammang, V. The R measure for totally positive algebraic
integers. Colloq. Math. 144 (2016), no. 1, 45–53.
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MR 3485879 Gao, Weidong; Li, Yuanlin; Zhao, Pingping; Zhuang, Jujuan On
sequences over a finite Abelian group with zero-sum subsequences of forbidden
lengths. Colloq. Math. 144 (2016), no. 1, 31–44.
MR 3479546 Cilleruelo, J.; Garaev, M. Z. Congruences involving product of
intervals and sets with small multiplicative doubling modulo a prime and
applications. Math. Proc. Cambridge Philos. Soc. 160 (2016), no. 3, 477–494.
MR 3479541 Liao, Lingmin; Rams, Michał Subexponentially increasing sums of
partial quotients in continued fraction expansions. Math. Proc. Cambridge Philos.
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MR 3477807 Das, Soumya Cuspidality and the growth of Fourier coefficients of
modular forms: a survey. Indian J. Pure Appl. Math. 47 (2016), no. 1, 9–22.
MR 3469478 Tsushima, Takahiro On a tower of good affinoids in X (p ) and the
inertia action on the reduction. J. Math. Sci. Univ. Tokyo 23 (2016), no. 1, 289–
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MR 3494793 Alzer, Horst; Sondow, Jonathan A parameterized series
representation for Apéry's constant ζ (3) . J. Comput. Anal. Appl. 20 (2016), no. 7,
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MR 3486083 van der Kamp, Peter H. Somos-4 and Somos-5 are arithmetic
divisibility sequences. J. Difference Equ. Appl. 22 (2016), no. 4, 571–581.
MR 3485837 Kittaneh, Fuad Bounds and majorization relations for the zeros of a
class of Fibonacci-type polynomials. Numer. Funct. Anal. Optim. 37 (2016), no. 2,
225–237.
MR 3485161 Li, Yin; Qiu, Hua p-adic Laplacian in local fields. Nonlinear Anal. 139
(2016), 131–151.
MR 3484755 Perarnau, Guillem; Serra, Oriol Correlation among runners and some
results on the lonely runner conjecture. Electron. J. Combin. 23 (2016), no. 1,
Paper 1.50, 22 pp.
MR 3484730 Schaeffer, Luke; Shallit, Jeffrey Closed, palindromic, rich, privileged,
trapezoidal, and balanced words in automatic sequences. Electron. J. Combin. 23
(2016), no. 1, Paper 1.25, 19 pp.
MR 3479667 Gogin, N.; Mylläri, A. Padovan-like sequences and Bell polynomials.
Math. Comput. Simulation 125 (2016), 168–177.
MR 3479174 Tenenbaum, Gérald Fonctions multiplicatives, sommes
d'exponentielles, et loi des grands nombres. (French) [Multiplicative functions,
exponential sums, and law of large numbers] Indag. Math. (N.S.) 27 (2016), no.
2, 590–600.
MR 3479173 Robert, Olivier On van der Corput's
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-th derivative test for
exponential sums. Indag. Math. (N.S.) 27 (2016), no. 2, 559–589.
MR 3479171 Huxley, M. N.; Plunkett, S. M. Integer chords and configurations of
lattice points. Indag. Math. (N.S.) 27 (2016), no. 2, 534–545.
MR 3479170 Hiary, Ghaith A. An explicit van der Corput estimate for
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MR 3479169 Gonek, Steven M.; Montgomery, Hugh L. Kronecker's approximation
theorem. Indag. Math. (N.S.) 27 (2016), no. 2, 506–523.
MR 3479167 Brüdern, Jörg; Dietmann, Rainer Random congruences. Indag. Math.
(N.S.) 27 (2016), no. 2, 480–487.
MR 3479165 Banks, William D.; Guo, Victor Z.; Shparlinski, Igor E. Almost primes
of the form ⌊p ⌋ . Indag. Math. (N.S.) 27 (2016), no. 2, 423–436.
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MR 3468539 Jang, Lee-Chae; Kim, Byung Moon On identities between sums of
Euler numbers and Genocchi numbers of higher order. J. Comput. Anal. Appl. 20
(2016), no. 7, 1240–1247.
MR 3484678 Cornelissen, Gunther; Reynolds, Jonathan The perfect power
problem for elliptic curves over function fields. New York J. Math. 22 (2016), 95–
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MR 3484513 Chen, Bin; Zhou, Haigang Bilateral series in terms of mixed mock
modular forms. J. Inequal. Appl. 2016, 2016:115, 12 pp.
MR 3479457 Xu, Guangkui; Cao, Xiwang; Xu, Shanding Further results on
permutation polynomials of the form (x − x + δ) + L(x) over F . J. Algebra
Appl. 15 (2016), no. 5, 1650098, 13 pp.
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MR 3479125 Broedel, Johannes; Matthes, Nils; Schlotterer, Oliver Relations
between elliptic multiple zeta values and a special derivation algebra. J. Phys. A
49 (2016), no. 15, 155203, 49 pp.
MR 3495279 Katayama, Shin-ichi Products of arithmetic progressions which are
squares. J. Math. Tokushima Univ. 49 (2015), 9–12.
MR 3495278 Ishihara, Toru Pell equations and Pythagorean triples with constant
difference of two legs. J. Math. Tokushima Univ. 49 (2015), 1–8.
MR 3478782 Galyautdinov, I. G.; Lavrent ʹeva, E. E. Determination of the minimal
polynomials of algebraic numbers of the form tg (π/n) by means of the
Tschirnhausen transformation. (Russian) Uch. Zap. Kazan. Univ. Ser. Fiz.-Mat.
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MR 3469784 Shioda, Tetsuji The MWL-algorithms for constructing cubic surfaces
with preassigned 27 lines. Comment. Math. Univ. St. Pauli 64 (2015), no. 2, 157–
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MR 3469783 Kawamoto, Fuminori; Kishi, Yasuhiro; Tomita, Koshi Continued
fraction expansions with even period and primary symmetric parts with extremely
large end. Comment. Math. Univ. St. Pauli 64 (2015), no. 2, 131–155.
MR 3469782 Katsurada, Hidenori Congruence between Duke-Imamoglu-Ikeda lifts
and non-Duke-Imamoglu-Ikeda lifts. Comment. Math. Univ. St. Pauli 64 (2015),
no. 2, 109–129.
MR 3495180 Pathan, M. A.; Khan, Waseem A. Some new classes of generalized
Hermite-based Apostol-Euler and Apostal-Genocchi polynomials. Fasc. Math. No.
55 (2015), 153–170.
MR 3486789 Shkredov, I. D. On sums of Szemerédi-Trotter sets. Proc. Steklov
Inst. Math. 289 (2015), no. 1, 300–309.
MR 3469751 Du, Xian Cun; Guan, Xun Gui; Wan, Fei The Diophantine equation
x − 1 = 13qy . (Chinese) J. Nanjing Norm. Univ. Nat. Sci. Ed. 38 (2015), no. 4,
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MR 3469747 He, Dawei Jacobi sequences of
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MR 3469741 Xue, Xiaoguo; Meng, Qianqian; Zhang, Bin; Ren, Fumei A remark of
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equation ax + by = n ] J. Nanjing Norm. Univ. Nat. Sci. Ed. 38 (2015), no. 4, 32–
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MR 3495052 Mehta, Trishla; Yadav, Vijay On hypergeometric series and
continued fractions. South East Asian J. Math. Math. Sci. 11 (2015), no. 1, 79–88.
MR 3495043 Mahadeva Naika, M. S.; Shivashankar, C. Modular relations involving
Eisenstein series. South East Asian J. Math. Math. Sci. 11 (2015), no. 1, 1–16.
MR 3480826 Manev, Nikolai L. On the relation between matrices and the greatest
common divisor of polynomials. Large-scale scientific computing, 191–199,
Lecture Notes in Comput. Sci., 9374, Springer, Cham, 2015.
MR 3488385 Seo, Soogil On the conjectures of Gross and Leopoldt. Math. Res.
Lett. 22 (2015), no. 5, 1509–1540.
MR 3488383 Reduzzi, Davide A. Weight shiftings for automorphic forms on
definite quaternion algebras, and Grothendieck ring. Math. Res. Lett. 22 (2015),
no. 5, 1459–1490.
MR 3469919 Khoshnoudirad, Daniel; Talbot, Hugues A complete characterization
of the (m, n)-cubes and combinatorial applications in imaging, vision, and
discrete geometry. AKCE Int. J. Graphs Comb. 12 (2015), no. 2-3, 229–237.
MR 3468303 Hilberdink, Titus Multiplicative Toeplitz matrices and the Riemann
zeta function. Four faces of number theory, 77–121, EMS Ser. Lect. Math., Eur.
Math. Soc., Zürich, 2015.
MR 3468302 Bugeaud, Yann Expansions of algebraic numbers. Four faces of
number theory, 31–75, EMS Ser. Lect. Math., Eur. Math. Soc., Zürich, 2015.
MR 3468301 Bringmann, Kathrin Asymptotic formulas for modular forms and
related functions. Four faces of number theory, 1–30, EMS Ser. Lect. Math., Eur.
Math. Soc., Zürich, 2015.
MR 3467136 Viazovska, Maryna CM values of higher Green's functions and
regularized Petersson products. Arithmetic and geometry, 493–503, London Math.
Soc. Lecture Note Ser., 420, Cambridge Univ. Press, Cambridge, 2015.
MR 3467135 Van Order, Jeanine On the dihedral Euler characteristics of Selmer
groups of abelian varieties. Arithmetic and geometry, 458–492, London Math.
Soc. Lecture Note Ser., 420, Cambridge Univ. Press, Cambridge, 2015.
MR 3467132 Salberger, Per Uniform bounds for rational points on cubic
hypersurfaces. Arithmetic and geometry, 401–421, London Math. Soc. Lecture
Note Ser., 420, Cambridge Univ. Press, Cambridge, 2015.
MR 3467131 Rosso, Giovanni Derivative of symmetric square p-adic L-functions
via pull-back formula. Arithmetic and geometry, 373–400, London Math. Soc.
Lecture Note Ser., 420, Cambridge Univ. Press, Cambridge, 2015.
MR 3467130 Paranjape, Kapil; Ramakrishnan, Dinakar Modular forms and CalabiYau varieties. Arithmetic and geometry, 351–372, London Math. Soc. Lecture
Note Ser., 420, Cambridge Univ. Press, Cambridge, 2015.
MR 3467129 Tuan, Ngo Dac On a counting problem for G -shtukas. Arithmetic and
geometry, 318–350, London Math. Soc. Lecture Note Ser., 420, Cambridge Univ.
Press, Cambridge, 2015.
MR 3467128 Kuz'min, L. V. On the ℓ-adic regulator as an ingredient of Iwasawa
theory. Arithmetic and geometry, 283–317, London Math. Soc. Lecture Note Ser.,
420, Cambridge Univ. Press, Cambridge, 2015.
MR 3467126 Ivanov, M. A.; Vostokov, S. V. The skew-symmetric pairing on the
Lubin-Tate formal module. Arithmetic and geometry, 255–263, London Math. Soc.
Lecture Note Ser., 420, Cambridge Univ. Press, Cambridge, 2015.
MR 3467125 Hida, Haruzo; Tilouine, Jacques Big image of Galois representations
and congruence ideals. Arithmetic and geometry, 217–254, London Math. Soc.
Lecture Note Ser., 420, Cambridge Univ. Press, Cambridge, 2015.
MR 3467124 Dieulefait, Luis; Pacetti, Ariel Connectedness of Hecke algebras and
the Rayuela conjecture: a path to functoriality and modularity. Arithmetic and
geometry, 193–216, London Math. Soc. Lecture Note Ser., 420, Cambridge Univ.
Press, Cambridge, 2015.
MR 3467120 Browning, T. D. A survey of applications of the circle method to
rational points. Arithmetic and geometry, 89–113, London Math. Soc. Lecture
Note Ser., 420, Cambridge Univ. Press, Cambridge, 2015.
MR 3467119 Benois, Denis Selmer complexes and p-adic Hodge theory.
Arithmetic and geometry, 36–88, London Math. Soc. Lecture Note Ser., 420,
Cambridge Univ. Press, Cambridge, 2015.
MR 3467118 Adibhatla, Rajender; Tsaknias, Panagiotis A characterisation of
ordinary modular eigenforms with CM. Arithmetic and geometry, 24–35, London
Math. Soc. Lecture Note Ser., 420, Cambridge Univ. Press, Cambridge, 2015.
MR 3467117 Abrashkin, Victor Galois groups of local fields, Lie algebras and
ramification. Arithmetic and geometry, 1–23, London Math. Soc. Lecture Note
Ser., 420, Cambridge Univ. Press, Cambridge, 2015.
MR 3410163 Bringmann, Kathrin; Bugeaud, Yann; Hilberdink, Titus; Sander,
Jürgen Four faces of number theory. Including course notes from the Summer
School held at Würzburg University, Würzburg, August 2012. EMS Series of
Lectures in Mathematics. European Mathematical Society (EMS), Zürich, 2015.
viii+190 pp. ISBN: 978-3-03719-142-2
MR 3410151 Arithmetic and geometry. Proceedings of the Trimester Conference
held at the University of Bonn, Bonn, January 15–April 19, 2013. Edited by Luis
Dieulefait, Gerd Faltings, D. R. Heath-Brown, Yu. V. Manin, B. Z. Moroz and JeanPierre Wintenberger. London Mathematical Society Lecture Note Series, 420.
Cambridge University Press, Cambridge, 2015. xxxiii+503 pp. ISBN: 978-1-10746254-0
MR 3469714 Tong, Yu Bo; Li, Ao A modified algorithm for solving a system of
congruences. (Chinese) Math. Theory Appl. (Changsha) 35 (2015), no. 4, 74–79.
MR 3485877 Bantay, P. A trace formula for vector-valued modular forms.
Commun. Contemp. Math. 17 (2015), no. 6, 1550069, 13 pp.
MR 3469880 Pethő, Attila; Varga, Péter; Weitzer, Mario On shift radix systems
over imaginary quadratic Euclidean domains. Acta Cybernet. 22 (2015), no. 2,
485–498.
MR 3469872 De Koninck, Jean-Marie; Kátai, Imre On a property of non Liouville
numbers. Acta Cybernet. 22 (2015), no. 2, 335–347.
MR 3467649 Bandini, Andrea; Valentino, Maria Control theorems for ℓ-adic Lie
extensions of global function fields. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 14
(2015), no. 4, 1065–1092.
MR 3469336 Kurt, Veli Some identities and recurrences relations for the q Bernoulli and q -Euler polynomials. Hacet. J. Math. Stat. 44 (2015), no. 6, 1397–
1404.
MR 3465484 Krepkii, I. A.; Pimenov, K. I. Cube root Ramanujan formulas and
elementary Galois theory. Vestnik St. Petersburg Univ. Math. 48 (2015), no. 4,
214–223.
MR 3488645 Suslina, I. A. An integer lattice problem, and estimation problems,
and the detection of smooth functions of several variables. (Russian) Zap.
Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 431 (2014),
Veroyatnost ʹ i Statistika. 21, 198–208.
MR 3480694 Zhukov, I. B. An elementary abelian conductor. (Russian) Zap.
Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 423 (2014),
Voprosy Teorii Predstavleniĭ Algebr i Grupp. 26, 126–131.
MR 3479471 Rybalkin, M. A. Classification of permutation fewnomials over simple
finite fields. (Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov.
(POMI) 421 (2014), Teoriya Predstavleniĭ, Dinamicheskie Sistemy, Kombinatornye
Metody. XXIII, 152–165.
MR 3479503 Zhang, Yifan; Grossman, George Diophantine triples and
extendibility of {1, 2, 5} and {1, 5, 10} . Fibonacci Quart. 52 (2014), no. 5, 212–
215.
MR 3479502 Young, Paul Thomas Symmetries of Stirling number series. Fibonacci
Quart. 52 (2014), no. 5, 205–211.
MR 3479501 Webb, William; Hamlin, Nathan Compositions and recurrences.
Fibonacci Quart. 52 (2014), no. 5, 201–204.
MR 3479500 Stănică, Pantelimon Normic continued fractions in totally and tamely
ramified extensions of local fields. Fibonacci Quart. 52 (2014), no. 5, 193–200.
MR 3479499 Panda, G. K.; Panda, A. K. Balancing-like sequences associated with
integral standard deviations of consecutive natural numbers. Fibonacci Quart. 52
(2014), no. 5, 187–192.
MR 3479498 Northshield, Sam Three analogues of Stern's diatomic sequence.
Fibonacci Quart. 52 (2014), no. 5, 168–186.
MR 3479497 Luca, Florian; Stănică, Pantelimon On Fibonacci numbers which are
elliptic Korselt numbers. Fibonacci Quart. 52 (2014), no. 5, 164–167.
MR 3479496 Komatsu, Takao; Masáková, Zuzana; Pelantová, Edita Higher-order
identities for Fibonacci numbers. Fibonacci Quart. 52 (2014), no. 5, 150–163.
MR 3479495 Kimberling, Clark; Moses, Peter J. C. The infinite Fibonacci tree and
other trees generated by rules. Fibonacci Quart. 52 (2014), no. 5, 136–149.
MR 3479494 Hendel, Russell Jay A Cayley-Hamilton and circulant approach to
jump sums. Fibonacci Quart. 52 (2014), no. 5, 124–135.
MR 3479493 Firengiz, M. Cetin; Tuglu, Naim On the q -Seidel matrix. Fibonacci
Quart. 52 (2014), no. 5, 117–123.
MR 3479491 Cooper, Curtis Algebraic statements similar to those in Ramanujan's
"lost notebook''. Fibonacci Quart. 52 (2014), no. 5, 91–101.
MR 3479490 Catral, Minerva; Ford, Pari; Harris, Pamela; Miller, Steven J.; Nelson,
Dawn Generalizing Zeckendorf's theorem: the Kentucky sequence. Fibonacci
Quart. 52 (2014), no. 5, 68–90.
MR 3479488 Birmajer, Daniel; Gil, Juan B.; Weiner, Michael D. Convolutions of
Tribonacci, Fuss-Catalan, and Motzkin sequences. Fibonacci Quart. 52 (2014), no.
5, 54–60.
MR 3479487 Best, Andrew; Dynes, Patrick; Edelsbrunner, Xixi; McDonald, Brian;
Miller, Steven J.; Tor, Kimsy; Turnage-Butterbaugh, Caroline; Weinstein,
Madeleine Gaussian behavior of the number of summands in Zeckendorf
decompositions in small intervals. Fibonacci Quart. 52 (2014), no. 5, 47–53.
MR 3479486 Best, Andrew; Dynes, Patrick; Edelsbrunner, Xixi; McDonald, Brian;
Miller, Steven J.; Tor, Kimsy; Turnage-Butterbaugh, Caroline; Weinstein,
Madeleine Benford behavior of Zeckendorf decompositions. Fibonacci Quart. 52
(2014), no. 5, 35–46.
MR 3479484 Atanassov, Krassimir T.; DeFord, Daryl R.; Shannon, Anthony G.
Pulsated Fibonacci recurrences. Fibonacci Quart. 52 (2014), no. 5, 22–27.
MR 3479483 Anderson, Peter G. Extended Fibonacci Zeckendorf theory. Fibonacci
Quart. 52 (2014), no. 5, 15–21.
MR 3479481 Bicknell-Johnson, Marjorie The Fibonacci Association: historical
snapshots. Fibonacci Quart. 52 (2014), no. 5, 1–4.
MR 3479480 Anderson, Peter G.; Ballot, Christian; Webb, William Foreword
[Proceedings of the 16th International Conference on Fibonacci Numbers and
Their Applications]. Held at the Rochester Institute of Technology, Rochester, NY,
July 20–27, 2014. Fibonacci Quart. 52 (2014), no. 5, v.
MR 3495596 Tugenov, Z. T. Periodicity of a Bernoulli distribution. (Russian)
Uzbek. Mat. Zh. 2013, no. 2, 107–111.
MR 3495114 Abraev, B.; Allakov, I. On Waring numbers. (Russian) Uzbek. Mat.
Zh. 2012, no. 4, 11–18.