Halász's theorem for Beurling generalized numbers

DOI10.4064/aa190210-22-5zbMath1462.11074arXiv1902.03870OpenAlexW3008954359MaRDI QIDQ3298852

Jasson Vindas, Gregory Debruyne, Frederick Maes

Publication date: 16 July 2020

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.03870

zbMATH Keywords

multiplicative functionsHalász theoremmean-value vanishing of the Möbius functionBeurling generalized primes and integersHalász-Wirsing mean-value theoremmultiplicative arithmetic measures

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Other Dirichlet series and zeta functions (11M41) Distribution of primes (11N05) Other results on the distribution of values or the characterization of arithmetic functions (11N64) Generalized primes and integers (11N80)

Related Items

The average order of the Möbius function for Beurling primes, Completely multiplicative functions with sum zero over generalised prime systems, Beurling numbers whose number of prime factors lies in a specified residue class

Cites Work

• Mean-value theorems in arithmetic semigroups
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• On Mertens' Theorem for Beurling Primes
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• Tauberian Theory
• M(x)=o(x) Estimates for Beurling numbers
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