Dense sets of integers with a prescribed representation function

Authors

  • Min Tang

Keywords:

Prescribed representation function, Sidon sets

Abstract

Let $A$ be an asymptotic basis of integers with prescribed representation function, then how dense $A$ can be. In this paper, we prove that there exist a real number $c>0$ and a asymptotic basis $A$ with prescribed representation function such that $A(-x,x)\geq c\sqrt{x}$ for infinitely many positive integers $x$.

Published

2011-10-19

Issue

Vol. 84 No. 1 (2011)

Section

Articles
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