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Modular Functions and Dirichlet Series in Number Theory: 41 (Graduate Texts in Mathematics, 41) - Hardcover
A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function. It covers many topics, such as Hecke's theory of entire forms with multiplicative Fourier coefficients, and the last chapter recounts Bohr's theory of equivalence of general Dirichlet series.
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From the reviews of the second edition:
“Apostol is an excellent writer of mathematics and the topics that are covered in this book are covered thoroughly in a concise, precise manner. ... the writing is characterized by its easy, readable, fluid style. Each chapter is complemented with a nice set of exercises.” (Įlvaro Lozano-Robledo, The Mathematical Association of America, June, 2011)
This volume is a sequel to the author's Introduction to Analytic Number Theory (UTM 1976, 3rd Printing 1986). It presupposes an undergraduate background in number theory comparable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis. Most of this book is devoted to a classical treatment of elliptic and modular functions with some of their number-theoretic applications. Among the major topics covered are Rademacher's convergent series for the partition modular function, Lehner's congruences for the Fourier coefficients of the modular function j, and Hecke's theory of entire forms with multiplicative Fourier coefficients. The last chapter gives an account of Bohr's theory of equivalence of general Dirichlet series. In addition to the correction of misprints, minor changes in the exercises and an updated bibliography, this new edition includes an alternative treatment of the transformation formula for the Dedekind eta function, which appears as a five-page supplement to Chapter 3.
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- PublisherSpringer
- Publication date1989
- ISBN 10 0387971270
- ISBN 13 9780387971278
- BindingHardcover
- Edition number2
- Number of pages217
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Modular Functions and Dirichlet Series in Number Theory, 2nd edition
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Book Description Trade paperback. Condition: New in new dust jacket. 2nd 1990. Corr. 2nd Printing ed. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Sewn binding. Cloth over boards. 234 p. Contains: Illustrations. Graduate Texts in Mathematics, 41. Audience: General/trade. Seller Inventory # K6120000018
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Modular Functions and Dirichlet Series in Number Theory (Graduate Texts in Mathematics) (v. 41) by Apostol, Tom M. [Hardcover ]
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Modular Functions and Dirichlet Series in Number Theory (Graduate Texts in Mathematics, 41)
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Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function. It covers many topics, such as Hecke's theory of entire forms with multiplicative Fourier coefficients, and the last chapter recounts Bohr's theory of equivalence of general Dirichlet series. 224 pp. Englisch. Seller Inventory # 9780387971278
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Modular Functions and Dirichlet Series in Number Theory (Graduate Texts in Mathematics, 41)
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