Two upper bounds for the Erdős-Hooley Delta-function

Author:

de la Bretèche Régis,Tenenbaum Gérald

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference14 articles.

1. Erdős P. Problem 218. Solution by the proposer. Canad Math Bull, 1973, 16: 621–622

2. Erdős P, Nicolas J-L. Répartition des nombres superabondants. Bull Soc Math France, 1975, 103: 65–90

3. Ford K, Green B, Koukoulopoulos D. Equal sums in random sets and the concentration of divisors. Invent Math, 2023, 232: 1027–1160

4. Hall R R, Tenenbaum G. The average orders of Hooley’s Δr-functions, II. Compos Math, 1986, 60: 163–186

5. Hall R R, Tenenbaum G. Divisors. Cambridge Tracts in Mathematics, no. 90. Cambridge: Cambridge University Press, 1988

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1. A lower bound on the mean value of the Erdős–Hooley Delta function;Proceedings of the London Mathematical Society;2024-06-30

2. On the friable mean-value of the Erdős–Hooley Delta function;Indagationes Mathematicae;2024-03

3. Foreword;Science China Mathematics;2023-11-08

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