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Modular functions and Dirichlet series in number theory / Tom M. Apostol

Auteur principal : Apostol, Tom Mike, 1923-2016, AuteurType de document : MonographieCollection : Graduate texts in mathematics, 41Langue : anglais.Pays : Etats Unis.Éditeur : New York : Springer, 1976Description : 1 vol. (X-198 p.) ; 24 cmISBN : 9781468499100.ISSN : 0072-5285.Bibliographie : Bibliogr. p. 190-192. Index.Sujet MSC : 11F03, Discontinuous groups and automorphic forms, Modular and automorphic functions
11P81, Additive number theory; partitions, Elementary theory of partitions
11M35, Number theory - Zeta and L-functions: analytic theory, Hurwitz and Lerch zeta functions
11F12, Discontinuous groups and automorphic forms, Automorphic forms, one variable
30B50, Series expansions of functions of one complex variable, Dirichlet series, exponential series and other series
En-ligne : Springerlink - ed. 1990 | MathSciNet
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From the author's preface: "This is the second volume of a 2-volume textbook that evolved from a course offered at the California Institute of Technology. It presupposes a background in number theory comparable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis. Both volumes of this work emphasize classical aspects of a subject which in recent years has undergone a great deal of modern development.'' The book is beautifully written, discusses some fascinating topics and is a delight to read. In fact, it is surprisingly easy to read, in particular in view of the enormous amount of material presented in less than 200 pages. Each of its chapters ends with a set of exercises, so that the book may well be used as a textbook for a course—provided one has the high quality students that can appreciate its virtues! (MathSciNet)

Bibliogr. p. 190-192. Index

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