03715nam 22007332 450 991045771580332120151005020621.01-139-88318-61-280-54066-497866105406620-511-21547-90-511-21726-90-511-21189-90-511-31586-40-511-75637-20-511-21366-2(CKB)1000000000353016(EBL)266621(OCoLC)171139160(SSID)ssj0000169946(PQKBManifestationID)11155093(PQKBTitleCode)TC0000169946(PQKBWorkID)10215323(PQKB)10703687(UkCbUP)CR9780511756375(MiAaPQ)EBC266621(PPN)145853306(Au-PeEL)EBL266621(CaPaEBR)ebr10131708(CaONFJC)MIL54066(OCoLC)173610084(EXLCZ)99100000000035301620100423d2004|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierHeegner points and Rankin L-series /edited by Henri Darmon, Shou-Wu Zhang[electronic resource]Cambridge :Cambridge University Press,2004.1 online resource (xiii, 367 pages) digital, PDF file(s)Mathematical Sciences Research Institute publications ;49Title from publisher's bibliographic system (viewed on 05 Oct 2015).0-521-15820-6 0-521-83659-X Includes bibliographical references and index.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 FieldsPeriods and Points Attached to Quadratic AlgebrasThe 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.Mathematical Sciences Research Institute Publications. ;49.Heegner Points & Rankin L-SeriesCurves, EllipticL-functionsCurves, Elliptic.L-functions.516.352Darmon Henri1965-Zhang ShouwuUkCbUPUkCbUPBOOK9910457715803321Heegner points and Rankin L-series2483315UNINA