Contributions to Analytic Number Theory

  • Lutz G Lucht Institut für Mathemätik , Technische Universitat Clausthal, 38678 Clausthal-Zellereld, Germany.


This paper reports on some recent contributions to the theory of multiplicative arithmetic semigroups, which have been initiated by John Knopfmacher's work on analytic number theory. They concern weighted inversion theorems of the Wiener type, mean-value theorems for multiplicative functions, and, Ramanujan expansions.
Mathematics Subject Classification (1991): 11A25, 11N37
Keywords: analytic number theory, arithmetic functions, related numbers, inversion formulas, Dirichlet algebras, arithmetic semigroups, weighted inversion theorems, semigroup, John Knopfmacher, analytic number theory, number theory, multiplicative function, Ramanujan expansions, expansions

Quaestiones Mathematicae 24(3) 2001, 309-322

Journal Identifiers

eISSN: 1727-933X
print ISSN: 1607-3606