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

2023/07/23 by Yuchen Ding, Ding, Yuchen, Zhao, Lilu
Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Limits and Structures in Graph Theory #Mathematical Dynamics and Fractals #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2307.12311

openalex publication_date 2023/07/23 · openalex created_date 2023/07/26 · openalex updated_date 2026/07/28

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≤ 288 given by Y.--G. Chen in 2008.

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