Modular Functions and Dirichlet Series in Number Theory (Graduate Texts in Mathematics) (2ND)

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Modular Functions and Dirichlet Series in Number Theory (Graduate Texts in Mathematics) (2ND)

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  • 製本 Hardcover:ハードカバー版
  • 言語 ENG
  • 商品コード 9780387971278
  • DDC分類 512.7

Full Description


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.

Contents

1The 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.