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Web of Modularity: Arithmetic of the Coefficients of Modular Forms and q-series

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Author(s): Ken Ono
Series: CBMS Regional Conference Series in Mathematics 102
Publisher: American Mathematical Society
Year: 2004

Language: English
Pages: 216
Tags: Mathematics; Number Theory; Modular Forms; q-series;

Preface
Basic Facts
Integer Weight Modular Forms
Half-Integer Weight Modular Forms
Product Expansions on Modular Forms on $SL_2(\mathbb(Z))$
Partitions
Weierstrass Points on the Modular Curve
Traces of Singular Moduli and Class Equations
Class Numbers of Quadratic Fields
Central Values of Modular $L$-functions and Applications
Basic Hypergeometric Generating Functions of $L$-values
Gaussian Hypergeometric Functions
Bibliography
Index