scientific article

zbMath0628.10058MaRDI QIDQ3764226

Jean-Loup Mauclaire

Publication date: 1986

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

limit theoremsHaar measuremultiplicative functionRamanujan sumsadditive functionmean-valueslimit-periodic sequencesBesicovich almost periodic sequencesgeneralized multiplicative functionsintegration on Bohr compactification of the set of integersnormed semigroups

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Arithmetic functions in probabilistic number theory (11K65) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (10)

Number theory -- probabilistic, heuristic, and computational approaches ⋮ Sur une inégalité de la théorie probabiliste des nombres. (On an inequality in probabilistic number theory) ⋮ Deux résultats sur les suites limite-périodiques. (Two results on limit-periodic sequences) ⋮ 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) ⋮ On some arithmetical multiplicative functions ⋮ PROBABILISTIC PROOF OF THE MEAN-VALUE THEOREM FOR [0,<i> </i>1-VALUED MULTIPLICATIVE FUNCTIONS BY MEANS OF THE ADELIC FORMULATION] ⋮ On some general almost periodic Optimal Control problems: links with periodic problems and necessary conditions ⋮ Existence of different kind of solutions for discrete time equations ⋮ Some theorems on the almost-periodic solutions of discrete dynamical systems ⋮ On the measure on the set of positive integers

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