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책 정보
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9780521158206
· 쪽수 : 382쪽
목차
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.