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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    View other formats and editions of Topics in Classical Automorphic Forms by American Mathem American Mathem

    Publisher: MP-AMM American Mathematical
    Publication Date: 10/30/1997 12:00:00 AM
    ISBN13: 9780821807774, 978-0821807774
    ISBN10: 0821807773
    Also in:
    Calculus and mathematical analysis

    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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