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Constructing Small Sets that are Uniform in Arithmetic Progressions

Published online by Cambridge University Press:  12 September 2008

A. Razborov
Affiliation:
Steklov Mathematical Institute, Moscow, Russia
E. Szemerédi
Affiliation:
Rutgers University, New Brunswick N. J., USA
A. Wigderson
Affiliation:
Hebrew University, Jerusalem, Israel

Abstract

For every integer N, we explicitly construct a subset of residues mod N of size(log N)o(1) which is nearly uniformly distributed in every arithmetic progression modulo N.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1993

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