On the Structure of Sets Which Have Coinciding Representation Functions

2017/02/15 by Sándor Z. Kiss, Kiss, Sándor Z., Csaba Sándor +1 · 1 citation
Engineering · #Advanced Numerical Analysis Techniques #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1702.04499

openalex publication_date 2017/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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• Identical representation functions of linear forms

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