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Modular Functions and Dirichlet Series in Number Theory /

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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...

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Bibliographic Details
Main Author: Apostol, Tom M.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1990.
Edition:Second edition.
Series:Graduate texts in mathematics ; 41.
Subjects:
Mathematics.
Number theory.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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
  • Supplement
  • Bibliography
  • Index.