Introduction to Arithmetical Functions

  • Paul J. McCarthy

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Paul J. McCarthy
    Pages 1-69
  3. Paul J. McCarthy
    Pages 70-113
  4. Paul J. McCarthy
    Pages 114-148
  5. Paul J. McCarthy
    Pages 149-183
  6. Paul J. McCarthy
    Pages 184-254
  7. Paul J. McCarthy
    Pages 255-292
  8. Paul J. McCarthy
    Pages 293-332
  9. Back Matter
    Pages 333-365

About this book

Introduction

The theory of arithmetical functions has always been one of the more active parts of the theory of numbers. The large number of papers in the bibliography, most of which were written in the last forty years, attests to its popularity. Most textbooks on the theory of numbers contain some information on arithmetical functions, usually results which are classical. My purpose is to carry the reader beyond the point at which the textbooks abandon the subject. In each chapter there are some results which can be described as contemporary, and in some chapters this is true of almost all the material. This is an introduction to the subject, not a treatise. It should not be expected that it covers every topic in the theory of arithmetical functions. The bibliography is a list of papers related to the topics that are covered, and it is at least a good approximation to a complete list within the limits I have set for myself. In the case of some of the topics omitted from or slighted in the book, I cite expository papers on those topics.

Keywords

Counting Functions Ramanujan approximation arithmetic congruence convolution form function information set

Authors and affiliations

  • Paul J. McCarthy
    • 1
  1. 1.Department of MathematicsUniversity of KansasLawrenceUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-8620-9
  • Copyright Information Springer-Verlag New York 1986
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-96262-7
  • Online ISBN 978-1-4613-8620-9
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • About this book
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