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Heegner points and Rankin L-series

Author: Henri Darmon; Shouwu Zhang
Publisher: Cambridge, UK ; New York, NY, USA : Cambridge University Press, ©2004.
Series: Mathematical Sciences Research Institute publications, 49.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
This title presents a collection of 13 articles by many of the leading contributors in the field on the history of the Gross-Zagier formula and its developments. It touches on the theory of complex multiplication, automorphic forms, the Rankin-Selberg method, arithmetic intersection theory, and much more.
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Genre/Form: Berkeley (Calif., 2001)
Kongress
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Henri Darmon; Shouwu Zhang
ISBN: 052183659X 9780521836593
OCLC Number: 56088386
Description: xiii, 367 pages ; 24 cm.
Contents: 1. Preface Henri Darmon and Shour-Wu Zhang; 2. Heegner points: the beginnings Bryan Birch; 3. Correspondence Bryan Birch and Benedict Gross; 4. The Gauss class number problem for imaginary quadratic fields Dorian Goldfeld; 5. Heegner points and representation theory Brian Conrad (with an appendix by W. R. Mann); 6. Special value formulae for Rankin L-functions Vinayak Vatsal; 7. Gross-Zagier formula for GL(2), II Shou-Wu Zhang; 8. Special cycles and derivatives in Eisenstein series Stephen Kudla; 9. Faltings' height and the Derivatives of Eisenstein series Tonghai Yang; 10. Elliptic curves and analogies between number fields and function fields Doug Ulmer; 11. Heegner points and elliptic curves of large rank over function fields Henri Darmon; 12. Periods and points attached to quadratic algebras Massimo Bertolini and Peter Green.
Series Title: Mathematical Sciences Research Institute publications, 49.
Responsibility: edited by Henri Darmon, Shou-Wu Zhang.
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Abstract:

Thirteen articles by leading contributors on the history of the Gross-Zagier formula and its developments.  Read more...

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"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 Read more...

 
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