Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896990 | Journal of Number Theory | 2018 | 18 Pages |
Abstract
For a subset Aâ[N], we define the representation function rAâA(d):=#{(a,aâ²)âAÃA:d=aâaâ²} and define MD(A):=max1â¤d1. We study the smallest possible value of MD(A) as A ranges over all possible subsets of [N] with a given size. We give explicit asymptotic expressions with constant coefficients determined for a large range of D. We shall also see how this problem connects to a well-known problem about generalized Sidon sets.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Wenqiang Xu,