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Heegner Points and Rankin L-Series.
・ISBN 978-0-521-15820-6 paper GB£ 46.00
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| 著者・編者 | Darmon, Henri / Zhang, Shou-wu (eds.), |
|---|---|
| シリーズ | Mathematical Sciences Research Institute Publications |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2010 |
| ページ数 | 382 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-10315＞ |
解説
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.