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Mean-value theorems for multiplicative functions on additive arithmetic semigroups via Halász's method

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Publication:1404222
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DOI10.1007/s00605-002-0503-2zbMath1041.11064OpenAlexW2029041448MaRDI QIDQ1404222

Wen-Bin Zhang

Publication date: 20 August 2003

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-002-0503-2


zbMATH Keywords

Tauberian theoremsexistence of mean-valuesmean-value theoremsgenerating power seriesGabor Halász's methodmultiplicative functions on additive arithmetic semigroupsWirsing's mean-value theorem


Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Asymptotic results on counting functions for algebraic and topological structures (11N45) Arithmetic functions in probabilistic number theory (11K65) Tauberian theorems (11M45)


Related Items (2)

Mean-value theorems and extensions of the Elliott-Daboussi theorem on additive arithmetic semigroups ⋮ Mean-value theorems for multiplicative functions on Beurling's generalized integers. I







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