Transfer of Siegel Cusp Forms of Degree 2. (Record no. 136279)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04139nam a22004933i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC5295323 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729131757.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2014 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470418939 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821898567 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC5295323 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL5295323 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)890463876 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA243 .P58 2014 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.7 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Pitale, Ameya. |
| 245 10 - TITLE STATEMENT | |
| Title | Transfer of Siegel Cusp Forms of Degree 2. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2014. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2014. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (120 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society Series ; |
| Volume/sequential designation | v.232 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Title page -- Introduction -- Notation -- Chapter 1. Distinguished vectors in local representations -- 1.1. Parabolic induction to (2,2) -- 1.2. Distinguished vectors: non-archimedean case -- 1.3. Distinguished vectors: archimedean case -- 1.4. Intertwining operator: non-archimedean case -- 1.5. Intertwining operator: archimedean case -- Chapter 2. Global -functions for ₄× ₂ -- 2.1. Bessel models for ₄ -- 2.2. Local zeta integrals -- 2.3. The global integral representation -- 2.4. The functional equation -- Chapter 3. The pullback formula -- 3.1. Local sections: non-archimedean case -- 3.2. The local pullback formula: non-archimedean case -- 3.3. Local sections: archimedean case -- 3.4. The local pullback formula: archimedean case -- 3.5. The global pullback formula -- 3.6. The second global integral representation -- Chapter 4. Holomorphy of global -functions for ₄× ₂ -- 4.1. Preliminary considerations -- 4.2. Eisenstein series and Weil representations -- 4.3. The Siegel-Weil formula and the proof of entireness -- Chapter 5. Applications -- 5.1. The transfer theorems -- 5.2. Analytic properties of -functions -- 5.3. Critical values of -functions -- Bibliography -- Back Cover. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Let \pi be the automorphic representation of \textrm{GSp}_4(\mathbb{A}) generated by a full level cuspidal Siegel eigenform that is not a Saito-Kurokawa lift, and \tau be an arbitrary cuspidal, automorphic representation of \textrm{GL}_2(\mathbb{A}). Using Furusawa's integral representation for \textrm{GSp}_4\times\textrm{GL}_2 combined with a pullback formula involving the unitary group \textrm{GU}(3,3), the authors prove that the L-functions L(s,\pi\times\tau) are "nice". The converse theorem of Cogdell and Piatetski-Shapiro then implies that such representations \pi have a functorial lifting to a cuspidal representation of \textrm{GL}_4(\mathbb{A}). Combined with the exterior-square lifting of Kim, this also leads to a functorial lifting of \pi to a cuspidal representation of \textrm{GL}_5(\mathbb{A}). As an application, the authors obtain analytic properties of various L-functions related to full level Siegel cusp forms. They also obtain special value results for \textrm{GSp}_4\times\textrm{GL}_1 and \textrm{GSp}_4\times\textrm{GL}_2. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Cusp forms (Mathematics). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Siegel domains. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Modular groups. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Saha, Abhishek. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Schmidt, Ralf. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Pitale, Ameya |
| Title | Transfer of Siegel Cusp Forms of Degree 2 |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2014 |
| International Standard Book Number | 9780821898567 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society Series |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5295323">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5295323</a> |
| Public note | Click to View |
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