Modular Functions and Dirichlet Series in Number Theory

Name: Modular Functions and Dirichlet Series in Number Theory
Price: 64.5 USD
Availability: InStock
ISBN: 9780387971278

ISBN-10: 0387971270

ISBN-13: 9780387971278

Edition: 2nd 1990 (Revised)

Authors: Tom M. Apostol

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Description:

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…

Book details

List price: $99.99
Edition: 2nd
Copyright year: 1990
Publisher: Springer New York
Publication date: 12/1/1989
Binding: Hardcover
Pages: 207
Size: 6.10" wide x 9.25" long x 0.50" tall
Weight: 1.100

Tom Apostol is an Emeritus Professor of Mathematics at the California Institute of Technology.




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