TY - BOOK ID - 67218145 TI - Heegner points and Rankin L-series AU - Darmon, Henri AU - Zhang, Shouwu PY - 2004 VL - 49 SN - 052183659X 0511211899 9780511211898 9780521836593 0511217269 9780511217265 0511215479 9780511215476 9780511756375 0511756372 9780521158206 0521158206 1139883186 1280540664 9786610540662 0511315864 0511213662 9781139883184 9781280540660 6610540667 9780511315862 9780511213663 PB - Cambridge, UK New York, NY, USA Cambridge University Press DB - UniCat KW - Curves, Elliptic KW - L-functions KW - 512.75 KW - Functions, L KW - -Number theory KW - Elliptic curves KW - Curves, Algebraic KW - 512.75 Arithmetic problems of algebraic varieties. Rationality questions. Zeta-functions KW - Arithmetic problems of algebraic varieties. Rationality questions. Zeta-functions KW - Curves, Elliptic. KW - L-functions. UR - https://www.unicat.be/uniCat?func=search&query=sysid:67218145 AB - The seminal formula of Gross and Zagier relating heights of Heegner points to derivatives of the associated Rankin L-series has led to many generalisations and extensions in a variety of different directions, spawning a fertile area of study that remains active to this day. This volume, based on a workshop on Special Values of Rankin L-series held at the MSRI in December 2001, is a collection of thirteen articles written by many of the leading contributors in the field, having the Gross-Zagier formula and its avatars as a common unifying theme. It serves as a valuable reference for mathematicians wishing to become further acquainted with the theory of complex multiplication, automorphic forms, the Rankin-Selberg method, arithmetic intersection theory, Iwasawa theory, and other topics related to the Gross-Zagier formula. ER -