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商品詳細
Zeta Integrals, Schwartz Spaces and Local Functional Equations. 1st ed. 2018.
・ISBN 978-3-030-01287-8 paper EUR 44.99
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| 著者・編者 | Li, Wen-Wei, |
|---|---|
| シリーズ | Lecture Notes in Mathematics |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2018 |
| ページ数 | 141 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-7051＞ |
解説
This book focuses on a conjectural class of zeta integrals which arose from a program born in the work of Braverman and Kazhdan around the year 2000, the eventual goal being to prove the analytic continuation and functional equation of automorphic L-functions.
Developing a general framework that could accommodate Schwartz spaces and the corresponding zeta integrals, the author establishes a formalism, states desiderata and conjectures, draws implications from these assumptions, and shows how known examples fit into this framework, supporting Sakellaridis' vision of the subject. The collected results, both old and new, and the included extensive bibliography, will be valuable to anyone who wishes to understand this program, and to those who are already working on it and want to overcome certain frequently occurring technical difficulties.