On the monotonicity of additive representation functions

On the monotonicity of additive representation functions

We study the monotonicity behavior of three slightly differently defined additive representation functions (as initiated by Erdős, 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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Veröffentlicht in:arXiv.org 2020-01
1. Verfasser: Stumpf, Pascal
Format: Artikel
Sprache:eng
Schlagworte:
Representations
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Zusammenfassung:We study the monotonicity behavior of three slightly differently defined additive representation functions (as initiated by Erdős, 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.
ISSN:2331-8422