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Field name	Details
Dewey Class	512.7
Title	Introduction to Arithmetical Functions ([EBook] /) / by Paul J. McCarthy.
Author	McCarthy, Paul J.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer New York, , 1986.
Physical Details	365 p. : online resource.
Series	Universitext 0172-5939
ISBN	9781461386209
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4613-8620-9
Links to Related Works	Subject References: Mathematics . Number Theory . Authors: McCarthy, Paul J. . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 512.7 .

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Introduction to Arithmetical Functions

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