一个由Moreira, Richter和Robertson证明的关于Erd猜想的简短证明

IF 1 3区数学 Q1 MATHEMATICS

Discrete Analysis Pub Date : 2019-04-22 DOI:10.19086/DA.11129

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引用次数: 5

摘要

给出了最近由Moreira、Richter和Robertson证明的Erdos的一个集猜想的一个简短证明:正密度整数的每一个子集都包含两个无限集的和。这个证明是在经典遍历理论的框架内写成的。

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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A short proof of a conjecture of Erd\"os proved by Moreira, Richter and Robertson

We give a short proof of a sumset conjecture of Erdos, recently proved by Moreira, Richter and Robertson: every subset of the integers of positive density contains the sum of two infinite sets. The proof is written in the framework of classical ergodic theory.

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来源期刊

Discrete Analysis Mathematics-Algebra and Number Theory

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

17 weeks

期刊介绍： Discrete Analysis is a mathematical journal that aims to publish articles that are analytical in flavour but that also have an impact on the study of discrete structures. The areas covered include (all or parts of) harmonic analysis, ergodic theory, topological dynamics, growth in groups, analytic number theory, additive combinatorics, combinatorial number theory, extremal and probabilistic combinatorics, combinatorial geometry, convexity, metric geometry, and theoretical computer science. As a rough guideline, we are looking for papers that are likely to be of genuine interest to the editors of the journal.