UID:
almafu_9959240050902883
Format:
1 online resource (xiii, 367 pages) :
,
digital, PDF file(s).
Edition:
1st ed.
ISBN:
1-139-88318-6
,
1-280-54066-4
,
9786610540662
,
0-511-21547-9
,
0-511-21726-9
,
0-511-21189-9
,
0-511-31586-4
,
0-511-75637-2
,
0-511-21366-2
Series Statement:
Mathematical Sciences Research Institute publications ; 49
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
,
Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; Heegner Points: The Beginnings; Correspondence; The Gauss Class Number Problem for Imaginary Quadratic Fields; Heegner Points and Representation Theory; Gross-Zagier Revisited; Special Value Formulae for Rankin L-Functions; Gross-Zagier Formula for GL(2), II; Special Cycles and Derivatives of Eisenstein Series; Faltings Heights and the Derivative of Zagier's Eisenstein Series; Elliptic Curves and Analogies Between Number Fields and Function Fields; Heegner Points and Elliptic Curves of Large Rank over Function Fields
,
Periods and Points Attached to Quadratic Algebras
,
English
Additional Edition:
ISBN 0-521-15820-6
Additional Edition:
ISBN 0-521-83659-X
Language:
English
Subjects:
Mathematics
URL:
https://doi.org/10.1017/CBO9780511756375
