A new upper bound on Ruzsa's number on the Erd\H os-Turán conjecture

Abstract

In this note, we show that the Ruzsa number $R_m$ is bounded by $192$ for any positive integer $m$, which improved the prior bound $R_m\le 288$ given by Y.--G. Chen in 2008.

arXiv commentWe make up some gaps pointed out by Professor Yong--Gao Chen