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Mathematical Sciences Research Institute Publications : Heegner Points and Rankin L-Series Series Number 49 - Henri Darmon

Mathematical Sciences Research Institute Publications

Heegner Points and Rankin L-Series Series Number 49

By: Henri Darmon (Editor), Shou-Wu Zhang (Editor)

Paperback

Published: 19th August 2010
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Based on a workshop on Special Values of Rankin L-series held at the MSRI in December 2001, this volume presents thirteen articles written by leading contributors on the history of the Gross-Zagier formula and recent developments. Topics include the theory of complex multiplication, automorphic forms, the Rankin-Selberg method, arithmetic intersection theory, and Iwasawa theory.

"The volume has an excellent array of topics and it is written by the leading mathematicians in the field. Each article serves well as an overview of the main concepts and definitely encourages the reader to pursue a deeper study of the field." MAA Reviews, Alvara Lozano-Robledo, Cornell University

Preface
Heegner points: the beginnings
Correspondence
The Gauss class number problem for imaginary quadratic fields
Heegner points and representation theory Brian Conrad (with an appendix by
Special value formulae for Rankin L-functions
Gross-Zagier formula for GL(2), II
Special cycles and derivatives in Eisenstein series
Faltings' height and the Derivatives of Eisenstein series
Elliptic curves and analogies between number fields and function fields
Heegner points and elliptic curves of large rank over function fields
Periods and points attached to quadratic algebras
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521158206
ISBN-10: 0521158206
Series: Mathematical Sciences Research Institute Publications
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 382
Published: 19th August 2010
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.4 x 15.6  x 2.0
Weight (kg): 0.54