A new upper bound on Ruzsa's number on the Erd\H os-Tur\'{a}n conjecture
Number Theory
2023-08-30 v6
Abstract
In this note, we show that the Ruzsa number is bounded by for any positive integer , which improved the prior bound given by Y.--G. Chen in 2008.
Cite
@article{arxiv.2307.12311,
title = {A new upper bound on Ruzsa's number on the Erd\H os-Tur\'{a}n conjecture},
author = {Yuchen Ding and Lilu Zhao},
journal= {arXiv preprint arXiv:2307.12311},
year = {2023}
}
Comments
We make up some gaps pointed out by Professor Yong--Gao Chen