Modular Functions and Dirichlet Series in Number Theory / Edition 2

Modular Functions and Dirichlet Series in Number Theory / Edition 2

by Tom M. Apostol
     
 

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ISBN-10: 0387971270

ISBN-13: 9780387971278

Pub. Date: 12/01/1989

Publisher: Springer New York

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

Overview

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.

Product Details

ISBN-13:
9780387971278
Publisher:
Springer New York
Publication date:
12/01/1989
Series:
Graduate Texts in Mathematics Series, #41
Edition description:
2nd ed. 1990. Corr. 2nd printing 1997
Pages:
207
Sales rank:
947,360
Product dimensions:
6.20(w) x 9.20(h) x 1.00(d)

Table of Contents

1: Elliptic functions. 2: The Modular group and modular functions. 3: The Dedekind eta function. 4: Congruences for the coefficients of the modular function j. 5: Rademacher's series for the partition function. 6: Modular forms with multiplicative coefficients. 7: Kronecker's theorem with applications. 8: General Dirichlet series and Bohr's equivalence theorem.

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