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Modular Forms


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Table of Contents

  • Introduction
  • Elliptic functions, elliptic curves, and theta function
  • Basic tools
  • The modular group
  • General aspects of holomorphic and nonholomorphic modular forms
  • Sets of $2 times 2$ integer matrices
  • Modular forms and functions on subgroups
  • Eisenstein and Poincare series
  • Fourier coefficients of modular forms
  • Hecke operators and Euler products
  • Dirichlet series, functional equations, and periods
  • Unfolding and kernels
  • Atkin-Lehner-Li theory
  • Theta functions
  • More general modular forms: An introduction
  • Bibliography
  • Index of notation
  • General index.

About the Author

Henri Cohen, Universite Bordeaux, France.

Fredrik Stromberg, University of Nottingham, United Kingdom.

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