Erdős-Hooley函数均值的上界

IF 1.5 1区数学 Q1 MATHEMATICS

Proceedings of the London Mathematical Society Pub Date : 2023-11-09 DOI:10.1112/plms.12572

Dimitris Koukoulopoulos, Terence Tao

引用次数: 2

摘要

Erdős-Hooley函数定义为。我们为所有人证明这一点。这改进了Hooley, Hall-Tenenbaum和La bret che - tenenbaum的早期工作。

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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An upper bound on the mean value of the Erdős–Hooley Delta function

Abstract The Erdős–Hooley Delta function is defined for as . We prove that for all . This improves on earlier work of Hooley, Hall–Tenenbaum, and La Bretèche–Tenenbaum.

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来源期刊

Proceedings of the London Mathematical Society 数学-数学

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Proceedings of the London Mathematical Society is the flagship journal of the LMS. It publishes articles of the highest quality and significance across a broad range of mathematics. There are no page length restrictions for submitted papers. The Proceedings has its own Editorial Board separate from that of the Journal, Bulletin and Transactions of the LMS.