A mean-value theorem for multiplicative functions

DOI10.1007/BF01215089zbMath0416.10035MaRDI QIDQ754249

Karl-Heinz Indlekofer

Publication date: 1980

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172962

zbMATH Keywords

mean-valuemultiplicative arithmetic functionprobabilistic theory of numbers

Mathematics Subject Classification ID

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

Related Items (16)

Arithmetic Functions: A Pivotal Topic in the Scientific Work of Wolfgang Schwarz ⋮ Remembering Wolfgang Schwarz, His Life and Work ⋮ Number theory -- probabilistic, heuristic, and computational approaches ⋮ On Labeled and Unlabeled Combinatorial Structures ⋮ JOHN KNOPFMACHER, [ABSTRACT ANALYTIC NUMBER THEORY, AND THE THEORY OF ARITHMETICAL FUNCTIONS] ⋮ 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) ⋮ Remarks on an elementary proof of Halász's theorem ⋮ Unnamed Item ⋮ Obituary for Wolfgang Schwarz ⋮ Orthonormal systems in spaces of number theoretical functions ⋮ Generalized moments of additive functions ⋮ Mean behaviour and distribution properties of multiplicative functions ⋮ Average order in cyclic groups ⋮ A Renewal Theorem for Random Walks in Multidimensional Time ⋮ A SURVEY OF RAMANUJAN EXPANSIONS ⋮ 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

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• On the distribution function of additive functions
• Note on Absolutely Convergent Dirichlet Series
• A Mean-Value Theorem for Multiplicative Functions
• On a Theorem of P. D. T. A. Elliott on Multiplicative Functions
• Multiplikative Funktionen auf schnell wachsenden Folgen.
• THE 'LARGE SIEVE' METHOD AND ITS APPLICATIONS IN THE THEORY OF NUMBERS
• Sur les fonctions arithmétiques multiplicatives
• The Difference between Consecutive Prime Numbers

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