Original Articles

RECENT DEVELOPMENTS AND APPLICATIONS OF ABSTRACT ANALYTIC NUMBER THEORY

Published in: Quaestiones Mathematicae
Volume 24 , issue 3 , 2001 , pages: 291–307

DOI: 10.1080/16073606.2001.9639219

Author(s): John Knopfmacher Centre for Applicable Analysis and Number Theory, South Africa

Keywords: 11-02 , 11T55

Abstract

The aim of this survey is to outline some basic concepts and results of “abstract” analytic number theory, with an emphasis on applications to concrete systems arising in a variety of mathematical fields. Some remarks on more recent investigations are also included.

« JOHN KNOPFMACHER, [ABSTRACT] ANALYTIC NUMBER THEORY, AND THE THEORY OF ARITHMETICAL FUNCTIONS

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