Heegner points and Rankin L-series
By: edited by Henri Darmon, Shou-Wu Zhang
Contributors: Darmon, Henri, 1965-; Zhang, Shouwu
Series: Mathematical Sciences Research Institute publications -- 49
Publisher: Cambridge University Press
Published: 2004
Place of publication: Cambridge, UK; New York, NY, USA
Language: eng
Number of pages: 367
Subjects: Curves, Elliptic; L-functions
Description: 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.
Notes: Includes bibliographical references and index