Multiplicative function mean values: asymptotic estimates

DOI10.7169/facm/1608zbMath1427.11092arXiv1603.03813OpenAlexW2963836315MaRDI QIDQ1746224

Peter D. T. A. Elliott

Publication date: 24 April 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03813

zbMATH Keywords

mean valuemultiplicative functionMaass form

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions in probabilistic number theory (11K65) Distribution functions associated with additive and positive multiplicative functions (11N60) Rate of growth of arithmetic functions (11N56)

Related Items (3)

Divisor-bounded multiplicative functions in short intervals ⋮ Effective means for complex multiplicative functions ⋮ Generalized Fourier coefficients of multiplicative functions

Cites Work

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• A comparative result for multiplicative functions
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• Un théorème sur les fonctions arithmétiques multiplicatives et ses applications
• Tauberian Theory
• Über die Mittelwerte multiplikativer zahlentheoretischer Funktionen
• Das asymptotische Verhalten von Summen über multiplikative Funktionen. II
• THE 'LARGE SIEVE' METHOD AND ITS APPLICATIONS IN THE THEORY OF NUMBERS

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