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Modular Functions and Dirichlet Series in Number Theory

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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.

Author(s): Tom M. Apostol
Series: Graduate Texts in Mathematics 41
Edition: 2nd
Publisher: Springer
Year: 1990

Language: English
Pages: 218