LEADER 03715nam 22007332 450 001 9910784306203321 005 20151005020621.0 010 $a1-139-88318-6 010 $a1-280-54066-4 010 $a9786610540662 010 $a0-511-21547-9 010 $a0-511-21726-9 010 $a0-511-21189-9 010 $a0-511-31586-4 010 $a0-511-75637-2 010 $a0-511-21366-2 035 $a(CKB)1000000000353016 035 $a(EBL)266621 035 $a(OCoLC)171139160 035 $a(SSID)ssj0000169946 035 $a(PQKBManifestationID)11155093 035 $a(PQKBTitleCode)TC0000169946 035 $a(PQKBWorkID)10215323 035 $a(PQKB)10703687 035 $a(UkCbUP)CR9780511756375 035 $a(Au-PeEL)EBL266621 035 $a(CaPaEBR)ebr10131708 035 $a(CaONFJC)MIL54066 035 $a(OCoLC)173610084 035 $a(MiAaPQ)EBC266621 035 $a(PPN)261304879 035 $a(EXLCZ)991000000000353016 100 $a20100423d2004|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aHeegner points and Rankin L-series /$fedited by Henri Darmon, Shou-Wu Zhang$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2004. 215 $a1 online resource (xiii, 367 pages) $cdigital, PDF file(s) 225 1 $aMathematical Sciences Research Institute publications ;$v49 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-15820-6 311 $a0-521-83659-X 320 $aIncludes bibliographical references and index. 327 $aCover; 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 327 $aPeriods and Points Attached to Quadratic Algebras 330 $aThe seminal formula of Gross and Zagier relating heights of Heegner points to derivatives of the associated Rankin L-series has led to many generalisations and extensions in a variety of different directions, spawning a fertile area of study that remains active to this day. This volume, based on a workshop on Special Values of Rankin L-series held at the MSRI in December 2001, is a collection of thirteen articles written by many of the leading contributors in the field, having the Gross-Zagier formula and its avatars as a common unifying theme. It serves as a valuable reference for mathematicians wishing to become further acquainted with the theory of complex multiplication, automorphic forms, the Rankin-Selberg method, arithmetic intersection theory, Iwasawa theory, and other topics related to the Gross-Zagier formula. 410 0$aMathematical Sciences Research Institute Publications. ;$v49. 517 3 $aHeegner Points & Rankin L-Series 606 $aCurves, Elliptic 606 $aL-functions 615 0$aCurves, Elliptic. 615 0$aL-functions. 676 $a516.352 702 $aDarmon$b Henri$f1965- 702 $aZhang$b Shouwu 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910784306203321 996 $aHeegner points and Rankin L-series$93746913 997 $aUNINA