Fourier analysis of arithmetical functions

DOI10.1007/BF02416959zbMath0337.10033OpenAlexW2061952768MaRDI QIDQ1229914

John Knopfmacher

Publication date: 1976

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02416959

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Asymptotic results on arithmetic functions (11N37) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Arithmetic functions in probabilistic number theory (11K65) Generalized primes and integers (11N80)

Related Items (19)

Arithmetic Functions: A Pivotal Topic in the Scientific Work of Wolfgang Schwarz ⋮ JOHN KNOPFMACHER, [ABSTRACT ANALYTIC NUMBER THEORY, AND THE THEORY OF ARITHMETICAL FUNCTIONS] ⋮ Still another proof of Parseval's equation for almost-even arithmetical functions ⋮ Some results in non-multiplicative \(B^ q\)-theory ⋮ The topological dual of the space \(B^ q\) of \(q\)-almost-even-number-theoretical functions \((0<q<\infty))\) ⋮ Limit-periodic arithmetical functions and the ring of finite integral adeles ⋮ Obituary for Wolfgang Schwarz ⋮ On the enumeration of finite Abelian and solvable groups. ⋮ Charakterisierung der additiven, fast-geraden Funktionen ⋮ PROBABILISTIC PROOF OF THE MEAN-VALUE THEOREM FOR [0,<i> </i>1-VALUED MULTIPLICATIVE FUNCTIONS BY MEANS OF THE ADELIC FORMULATION] ⋮ Some remarks on almost-even and almost-periodic functions ⋮ Orthonormal systems in spaces of number theoretical functions ⋮ Orthonormal systems on Vilenkin groups ⋮ Prüfer's ideal numbers as Gelfand's maximal ideals ⋮ The essential supremum for arithmetical almost-even functions ⋮ A SURVEY OF RAMANUJAN EXPANSIONS ⋮ Additive arithmetic functions on semigroups and the preservation of weak convergence of measures ⋮ Properties of uniformly summable multiplicative functions ⋮ Almost even arithmetical functions on semigroups

Cites Work

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