On the monotonicity of additive representation functions
Number Theory
2020-02-03 v2 Combinatorics
Abstract
We study the monotonicity behavior of three slightly differently defined additive representation functions (as initiated by Erd\H{o}s, S\'{a}rk\"{o}zy and S\'{o}s), answering one open question and another one partially, and give a slightly simpler proof for a result of Chen and Tang.
Keywords
Cite
@article{arxiv.1912.04766,
title = {On the monotonicity of additive representation functions},
author = {Pascal Stumpf},
journal= {arXiv preprint arXiv:1912.04766},
year = {2020}
}
Comments
fixed a tiny typo, comments are very welcome (o^.^o)