ERRATA FOR: AN IDENTITY FOR SUMS OF POLYLOGARITHM
FUNCTIONS
Steven J. Miller
Department of Mathematics, Brown University, Providence, RI 02912, USA.
[email protected]
Posted: 5/16/08
Errata
Equation (5) in Theorem 1 should read:
a!,2! Li−2! (x) + · · · + a!,0 Li0 (x)
=
b!,2!+1 Li−2!−1 (x) + · · · + b!,0 Li0 (x)
=
(2!)! x! (1 + x)
2 (1 − x)2!+1
x! (1 + x)
(2! + 1)!
.
(1 − x)2!+2
Equation (17) should read:
∞ !
2!
!
a!,i k i xk
=
k=1 i=0
1
c2!
x! (1 + x)
.
(1 − x)2!+1