Introduction to arithmetical functions
type: Item
instance of: scholarly article
title: Introduction to arithmetical functions
zbMATH Open document ID: 0591.10003
author: Paul J. McCarthy
published in: Universitext
publication date: 1986-01-01T00:00:00Z
review text: The author gives a well-written introduction into the elementary theory of arithmetical functions. All important topics of the subject are touched either in the main text or in the exercises (more than 400 and very well selected). We find here a.o. the theory of Ramanujan sums, generating functions and applications to the counting of congruence solutions as well as various generalizations of Dirichlet's convolutions. There is also a chapter on asymptotic properties, but unfortunately it provides only few results based mostly on summation inversion. Each chapter ends with useful bibliographical and historical comments. The book is easy to read and does not presuppose from the reader more than a first course in number theory.
Mathematics Subject Classification ID: 11A25
Mathematics Subject Classification ID: 11-01
Mathematics Subject Classification ID: 11A07
Mathematics Subject Classification ID: 11N37
zbMATH DE Number: 3948362
zbMATH Keywords: arithmetic functions
zbMATH Keywords: arithmetic convolutions
zbMATH Keywords: Ramanujan sums
reviewed by: Władysław Narkiewicz
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3948362