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OverviewThe 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. Full Product DetailsAuthor: Paul J. McCarthyPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: Softcover reprint of the original 1st ed. 1986 Dimensions: Width: 15.50cm , Height: 1.90cm , Length: 23.50cm Weight: 0.569kg ISBN: 9780387962627ISBN 10: 038796262 Pages: 365 Publication Date: 19 December 1985 Audience: College/higher education , Undergraduate Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1. 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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