English

On the structure of sets which have coinciding representation functions

Number Theory 2020-01-07 v2

Abstract

For a set of nonnegative integers AA, denote by RA(n)R_{A}(n) the number of unordered representations of the integer nn as the sum of two different terms from AA. In this paper we partially describe the structure of the sets, which have coinciding representation functions.

Keywords

Cite

@article{arxiv.1702.04499,
  title  = {On the structure of sets which have coinciding representation functions},
  author = {Sándor Z. Kiss and Csaba Sándor},
  journal= {arXiv preprint arXiv:1702.04499},
  year   = {2020}
}
R2 v1 2026-06-22T18:18:52.963Z