Theta Functions: From the Classical to the Modern

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Maruti Ram Murty
American Mathematical Soc., Jan 1, 1993 - Mathematics - 174 pages
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This book contains lectures on theta functions written by experts well known for excellence in exposition. The lectures represent the content of four courses given at the Centre de Recherches Mathematiques in Montreal during the academic year 1991-1992, which was devoted to the study of automorphic forms. Aimed at graduate students, the book synthesizes the classical and modern points of view in theta functions, concentrating on connections to number theory and representation theory. An excellent introduction to this important subject of current research, this book is suitable as a text in advanced graduate courses.
 

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Contents

Ramanujans Theory of ThetaFunctions
1
Eisenstein Series and Theta Functions on the Metaplectic Group
65
Weil Representation Howe Duality and the Theta Correspondence
105
On ThetaSeries Liftings for Unitary Groups
129
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