Description

Book Synopsis
Aims to acquaint the reader with various perspectives of the theory of automorphic forms. This work focuses on such subjects as theta-functions and representations by quadratic forms.

Table of Contents
Introduction The classical modular forms Automorphic forms in general The Eisenstein and the Poincare series Kloosterman sums Bounds for the Fourier coefficients of cusp forms Hecke operators Automorphic $L$-functions Cusp forms associated with elliptic curves Spherical functions Theta functions Representations by quadratic forms Automorphic forms associated with number fields Convolution $L$-functions Bibliography Index.

Topics in Classical Automorphic Forms

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    A Hardback by American Mathem American Mathem

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 10/30/1997 12:00:00 AM
      ISBN13: 9780821807774, 978-0821807774
      ISBN10: 0821807773

      Description

      Book Synopsis
      Aims to acquaint the reader with various perspectives of the theory of automorphic forms. This work focuses on such subjects as theta-functions and representations by quadratic forms.

      Table of Contents
      Introduction The classical modular forms Automorphic forms in general The Eisenstein and the Poincare series Kloosterman sums Bounds for the Fourier coefficients of cusp forms Hecke operators Automorphic $L$-functions Cusp forms associated with elliptic curves Spherical functions Theta functions Representations by quadratic forms Automorphic forms associated with number fields Convolution $L$-functions Bibliography Index.

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