Original Articles

CONTRIBUTIONS TO ABSTRACT ANALYTIC NUMBER THEORY

Published in: Quaestiones Mathematicae
Volume 24 , issue 3 , 2001 , pages: 309–322

DOI: 10.1080/16073606.2001.9639220

Author(s): LutzG. Lucht , Germany

Keywords: 11A25 , 11N37

Abstract

This paper reports on some recent contributions to the theory of multiplicative arithmetic semigroups, which have been initiated by John Knopfmacher's work on abstract analytic number theory. They concern weighted inversion theorems of the Wiener type, mean-value theorems for multiplicative functions, and Ramanu-jan expansions.

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