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

Dimitris Koukoulopoulos, Terence Tao

Source record

Source: Crossref

Published: Nov 9, 2023

DOI: 10.1112/plms.12572

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Source abstract

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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An upper bound on the mean value of the Erdős–Hooley Delta function — Mathematical Frontier Network