Introduction to Arithmetical Functions / Edition 1

by Paul J. McCarthy

Overview

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.

Product Details

ISBN-13:	9780387962627
Publisher:	Springer New York
Publication date:	12/19/1985
Series:	Universitext
Edition description:	Softcover reprint of the original 1st ed. 1986
Pages:	365
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

1. Multiplicative Functions.- 2. Ramanujan Sums.- 3. Counting Solutions of Congruences.- 4. Generalizations of Dirichlet Convolution.- 5. Dirichlet Series and Generating Functions.- 6. Asymptotic Properties of Arithmetical Functions.- 7. Generalized Arithmetical Functions.- References.