VAN DER CORPUT SETS
MANFRED G. MADRITSCH
A set H of positive integers is a van der Corput set if the sequence {un } of real numbers
is uniformly distributed (mod 1) whenever the differenced sequence {un+h − un } is uniformly
distributed (mod 1) for all h ∈ H. We start the talk with a historical background together
with some properties and examples of van der Corput sets. Then we present connections of
these sets with intersective sets, recurrent sets and Heilbronn sets. Finally extensions of these
questions to sets in Zd together with recent examples are considered.
(M. G. Madritsch) Institute Elie Cartan Nancy
Faculté de Sciences et Technologies
Université de Lorraine
54506 Vandoeuvre-lès-Nancy Cedex, France
E-mail address: [email protected]
Date: September 22, 2014.
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