Heegner points and Rankin L-series /
Heegner Points & Rankin L-Series
edited by Henri Darmon, Shou-Wu Zhang.
- Cambridge : Cambridge University Press, 2004.
- 1 online resource (xiii, 367 pages) : digital, PDF file(s).
- Mathematical Sciences Research Institute publications ; 49 .
- Mathematical Sciences Research Institute Publications. ; 49. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.