On the friable mean-value of the Erdős-Hooley delta function

DOI10.1016/j.indag.2024.02.002arXiv2307.05530OpenAlexW4391886948MaRDI QIDQ6130568

J. Wetzer, Bruno Martin, Gérald Tenenbaum

Publication date: 3 April 2024

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.05530

zbMATH Keywords

saddle-point methodfriable integersErdős-Hooley delta functionmean-value of arithmetic functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25)

Cites Work

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• On Integers Free of Large Prime Factors
• On the Average and Normal Orders of Hooley's Δ-Function
• On a New Technique and Its Applications to the Theory of Numbers
• Moyennes de certaines fonctions multiplicatives sur les entiers friables
• Valeur moyenne des fonctions de Piltz sur les entiers sans grand facteur premier
• Equal sums in random sets and the concentration of divisors
• On the bias of a probability law for brittle integers

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