On moments of the Erdős--Hooley Delta-function

2025/12/05 by Régis de la Bretèche, Gérald Tenenbaum, de la Bretèche, R. +1
Mathematics · #Analytic Number Theory Research #Limits and Structures in Graph Theory #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2512.05652

Abstract

For integer n\geqslant 1 and real u, let Δ(n,u):=|\d:d| n, \rm e^u

Citations

• A lower bound on the mean value of the Erdős-Hooley Delta function
• Two upper bounds for the Erdős--Hooley Delta-function
• Sur une question d'Erdös et Schinzel, II

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