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Titolo: | Heegner points and Rankin L-series / / edited by Henri Darmon, Shou-Wu Zhang |
Pubblicazione: | Cambridge, UK ; ; New York, NY, USA, : Cambridge University Press, c2004 |
Edizione: | 1st ed. |
Descrizione fisica: | 1 online resource (xiii, 367 pages) : digital, PDF file(s) |
Disciplina: | 516.352 |
Soggetto topico: | Curves, Elliptic |
L-functions | |
Altri autori: | DarmonHenri <1965-> ZhangShouwu |
Note generali: | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
Nota di bibliografia: | Includes bibliographical references and index. |
Nota di contenuto: | 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 | |
Sommario/riassunto: | 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. |
Titolo autorizzato: | Heegner points and Rankin L-series |
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 | |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910806101603321 |
Lo trovi qui: | Univ. Federico II |
Opac: | Controlla la disponibilità qui |