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

DOI10.1112/plms.12572arXiv2306.08615OpenAlexW4388527470MaRDI QIDQ6139784

Dimitris Koukoulopoulos, Terence C. Tao

Publication date: 19 December 2023

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.08615

zbMATH Keywords

concentration functionmethod of momentsdivisors of integersErdős-Hooley delta function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Cites Work

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• On the Average and Normal Orders of Hooley's Δ-Function
• On a New Technique and Its Applications to the Theory of Numbers
• The Distribution of Prime Numbers
• Equal sums in random sets and the concentration of divisors

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