Caractérisation des fonctions multiplicatives p.p.\(B^\lambda\) à spectre non vide

DOI10.5802/aif.796zbMath0446.10040OpenAlexW2316692755MaRDI QIDQ1145719

Hedi Daboussi

Publication date: 1980

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1980__30_3_141_0

zbMATH Keywords

almost periodic multiplicative functionscharacterization of number theoretic functions

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Multiplicative number theory (11N99)

Related Items (13)

Arithmetic Functions: A Pivotal Topic in the Scientific Work of Wolfgang Schwarz ⋮ Number theory -- probabilistic, heuristic, and computational approaches ⋮ Gleichgradige Summierbarkeit bei verallgemeinerten Momenten additiver Funktionen. (Uniform summability of generalized moments of additive functions) ⋮ Some results in non-multiplicative \(B^ q\)-theory ⋮ The topological dual of the space \(B^ q\) of \(q\)-almost-even-number-theoretical functions \((0<q<\infty))\) ⋮ Charakterisierung der additiven, fast-geraden Funktionen ⋮ 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 ⋮ Prüfer's ideal numbers as Gelfand's maximal ideals ⋮ Sur les fonctions multiplicatives ayant une valeur moyenne non nulle ⋮ Properties of uniformly summable multiplicative functions

Cites Work

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• On the mean value of nonnegative multiplicative number-theoretical functions
• A Mean-Value Theorem for Multiplicative Functions
• A new method in probabilistic number theory
• Number-Theoretical Almost-Periodicities
• Some remarks about additive and multiplicative functions

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