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Modular Functions and Dirichlet Series in Number Theory : Second Edition

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Modular Functions and Dirichlet Series in Number Theory : Second Edition

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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.

Title

Modular Functions and Dirichlet Series in Number Theory : Second Edition

Author

Tom M. Apostol

Publisher

Springer Publishing Company

Category

  • Knowledge
  • Mathematics
  • 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.
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