Sur les fonctions multiplicatives ayant une valeur moyenne non nulle

DOI10.24033/bsmf.1936zbMath0461.10040OpenAlexW2585864440MaRDI QIDQ3910607

Hedi Daboussi

Publication date: 1981

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1981__109__183_0

zbMATH Keywords

convergent seriesmean valuemultiplicative function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions in probabilistic number theory (11K65)

Related Items (10)

Arithmetic Functions: A Pivotal Topic in the Scientific Work of Wolfgang Schwarz ⋮ Number theory -- probabilistic, heuristic, and computational approaches ⋮ Sur la notion de fonction multiplicative et quelques problèmes qui lui sont associés. II. (On the notion of multiplicative function and some problems associated with it. II) ⋮ Remark on a theorem of G. Halasz ⋮ Über Mittelwerte multiplikativer zahlentheoretischer Funktionen mehrerer Variablen ⋮ Mean-value theorems and extensions of the Elliott-Daboussi theorem on additive arithmetic semigroups ⋮ Über eine arithmetische Charakterisierung der multiplikativen, fast- geraden Funktionen. (On an arithmetic characterization of multiplicative almost-even functions) ⋮ Mean-value theorems and extensions of the Elliott-Daboussi theorem on Beurling's generalized integers. I ⋮ Properties of uniformly summable multiplicative functions ⋮ Sur la notion de fonction multiplicative et quelques problèmes qui lui sont associés. (On the notion of multiplicative function and some associated problems.)

Cites Work

• Caractérisation des fonctions multiplicatives p.p.\(B^\lambda\) à spectre non vide
• A Mean-Value Theorem for Multiplicative Functions
• On a Theorem of P. D. T. A. Elliott on Multiplicative Functions
• Sur les fonctions arithmétiques multiplicatives
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