A new upper bound on Ruzsa’s numbers on the Erdős–Turán conjecture

IF 0.5 3区数学 Q3 MATHEMATICS

International Journal of Number Theory Pub Date : 2024-04-06 DOI:10.1142/s179304212450074x

Yuchen Ding, Lilu Zhao

引用次数: 0

Abstract

In this paper, we show that the Ruzsa number $R_{m}$ is bounded by $192$ for any positive integer $m$ , which improves the prior bound $R_{m} \leq 288$ given by Chen in 2008.

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关于厄尔多斯-图兰猜想的鲁兹萨数的新上限

在本文中，我们证明了对于任意正整数 m，鲁兹萨数 Rm 的边界为 192，这改进了陈在 2008 年给出的先前边界 Rm≤288。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Number Theory 数学-数学

CiteScore

1.10

自引率

14.30%

发文量

审稿时长

4-8 weeks

期刊介绍： This journal publishes original research papers and review articles on all areas of Number Theory, including elementary number theory, analytic number theory, algebraic number theory, arithmetic algebraic geometry, geometry of numbers, diophantine equations, diophantine approximation, transcendental number theory, probabilistic number theory, modular forms, multiplicative number theory, additive number theory, partitions, and computational number theory.