Translated sums of primitive sets

The Erdős primitive set conjecture states that the sum $f(A) = \sum _{a\,\in \,A}\tfrac{1}{a\log a}$, ranging over any primitive set $A$ of positive integers, is maximized by the set of prime numbers. Recently Laib, Derbal, and Mechik proved that the translated Erdős conjecture for the sum $f(A,h) =...

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Bibliographic Details
Main Author: Lichtman, Jared Duker
Format: Article
Language:English
Published: Académie des sciences 2022-04-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.285/