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Heegner points and Rankin L-series / edited by Henri Darmon, Shou-Wu Zhang.

Contributor(s): Material type: TextTextSeries: Mathematical Sciences Research Institute Publications ; 49.Publisher: Cambridge : Cambridge University Press, 2004Description: 1 online resource (xiii, 367 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511756375 (ebook)
Other title:
  • Heegner Points & Rankin L-Series
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 516.352 22
LOC classification:
  • QA567.2.E44 H44 2004
Online resources: Summary: 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.
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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.

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