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Modular Functions and Dirichlet Series in Number Theory : Graduate Texts in Mathematics - Tom M. Apostol

Modular Functions and Dirichlet Series in Number Theory

Graduate Texts in Mathematics

Hardcover Published: 22nd May 1997
ISBN: 9780387971278
Number Of Pages: 207

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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.

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." (Alvaro Lozano-Robledo, The Mathematical Association of America, June, 2011)

Elliptic functions
The Modular group and modular functions
The Dedekind eta function
Congruences for the coefficients of the modular function j.
Rademacher's series for the partition function
Modular forms with multiplicative coefficients
Kronecker's theorem with applications
General Dirichlet series and Bohr's equivalence theorem
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387971278
ISBN-10: 0387971270
Series: Graduate Texts in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 207
Published: 22nd May 1997
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 1.27
Weight (kg): 0.5
Edition Number: 2
Edition Type: Revised

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