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arXiv · 1912.04766

On the monotonicity of additive representation functions

Pascal Stumpf
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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.

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Pascal Stumpf. 2019-12-10. On the monotonicity of additive representation functions. https://arxiv.org/abs/1912.04766

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