Mendeley出力
＜図書＞
Explicit formulas for regularized products and series
| 責任表示 | Jay Jorgenson & Serge Lang, Dorian Goldfeld |
|---|---|
| シリーズ | Lecture notes in mathematics ; 1593 . Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn ; vol. 21 |
| データ種別 | 図書 |
| 出版情報 | Berlin ; New York : Springer-Verlag , c1994 |
| 本文言語 | 英語 |
| 大きさ | viii, 154 p. ; 24 cm |
| 概要 | The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulas can be used to describe the quan...itative behavior of various objects in analytic number theory and spectral theory. The present book deals with other applications arising from Gaussian test functions, leading to theta inversion formulas and corresponding new types of zeta functions which are Gaussian transforms of theta series rather than Mellin transforms, and satisfy additive functional equations. Their wide range of applications includes the spectral theory of a broad class of manifolds and also the theory of zeta functions in number theory and representation theory. Here the hyperbolic 3-manifolds are given as a significant example. The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulas can be used to describe the quantitative behavior of various objects in analytic number theory and spectral theory. The present book deals with other applications arising from Gaussian test functions, leading to theta inversion formulas and corresponding new types of zeta functions which are Gaussian transforms of theta series rather than Mellin transforms, and satisfy additive functional equations. Their wide range of applications includes the spectral theory of a broad class of manifolds and also the theory of zeta functions in number theory and representation theory. Here the hyperbolic 3-manifolds are given as a significant example. 続きを見る |
| 目次 | Explicit formulas for regularized products and series / Jay Jorgenson and Serge Lang A Spectral interpretation of Weil's explicit formula / Dorian Goldfeld |
| 電子版へのリンク | https://hdl.handle.net/2324/7017951 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
|---|---|---|---|---|---|---|---|---|---|---|
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理系図3F 数理独自 | SER/LNM/1593 | 1994 |
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068222195005254 |
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理系図 自動書庫 | 410.8/L 493/(1593) | 1994 |
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068582195000508 |
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: gw | 数理 雑誌室 | SER/LNM/K1593 | 1994 |
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068252195010664 | 410.8 |
書誌詳細
| 別書名 | 背表紙タイトル:Explicit formulas |
|---|---|
| 内容注記 | Explicit formulas for regularized products and series / Jay Jorgenson and Serge Lang A Spectral interpretation of Weil's explicit formula / Dorian Goldfeld |
| 一般注記 | Spine title: Explicit formulas Includes bibliographical references and index |
| 著者標目 | *Jorgenson, Jay Lang, Serge, 1927- Goldfeld, D. |
| 件 名 | LCSH:Number theory LCSH:Spectral theory (Mathematics) LCSH:Functions, Zeta LCSH:Sequences (Mathematics) |
| 分 類 | LCC:QA3 LCC:QA241 DC20:510 s DC20:512/.7 NDC8:410.8 |
| 書誌ID | 1000036082 |
| ISBN | 3540586733 |
| NCID | BA23919931 |
| 巻冊次 | : gw ; ISBN:3540586733 ; PRICE:DM42.00 : us ; ISBN:0387586733 |
| 登録日 | 2009.09.10 |
| 更新日 | 2017.02.18 |