Heegner Points and Rankin L-Series

Heegner Points and Rankin L-Series

by Henri Darmon
     
 

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

Overview

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

Product Details

ISBN-13:
9780521836593
Publisher:
Cambridge University Press
Publication date:
06/28/2004
Series:
Mathematical Sciences Research Institute Publications Series, #49
Pages:
382
Product dimensions:
6.14(w) x 9.21(h) x 1.02(d)

Table of 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.

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