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Transfer of Siegel cusp forms of degree 2 /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
[2014]
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1090. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 001 | EBOOKCENTRAL_ocn890463876 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
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| 008 | 140912t20142014riu ob 000 0 eng d | ||
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| 020 | |a 9781470418939 |q (online) | ||
| 020 | |a 1470418932 |q (online) | ||
| 020 | |z 9780821898567 |q (alk. paper) | ||
| 020 | |z 0821898566 |q (alk. paper) | ||
| 035 | |a (OCoLC)890463876 |z (OCoLC)1259227259 | ||
| 050 | 4 | |a QA243 |b .P58 2014eb | |
| 082 | 0 | 4 | |a 512.7 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Pitale, Ameya, |d 1977- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjtDCdmfBBCJ4t6bXfW4bd | |
| 245 | 1 | 0 | |a Transfer of Siegel cusp forms of degree 2 / |c Ameya Pitale, Abhishek Saha, Ralf Schmidt. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c [2014] | |
| 264 | 4 | |c ©2014 | |
| 300 | |a 1 online resource (v, 107 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 232, number 1090 | |
| 500 | |a "Volume 232, Number 1090 (second of 6 numbers), November 2014." | ||
| 504 | |a Includes bibliographical references (pages 103-107). | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | 0 | |t Introduction |t Notation |t Chapter 1. Distinguished vectors in local representations |t Chapter 2. Global $L$-functions for $\textup {GSp}_4\times \textup {GL}_2$ |t Chapter 3. The pullback formula |t Chapter 4. Holomorphy of global $L$-functions for $\textup {GSp}_4 \times \textup {GL}_2$ |t Chapter 5. Applications. |
| 520 | |a 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 lift | ||
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Cusp forms (Mathematics) | |
| 650 | 0 | |a Siegel domains. | |
| 650 | 0 | |a Modular groups. | |
| 650 | 6 | |a Formes paraboliques (Mathématiques) | |
| 650 | 6 | |a Domaines de Siegel. | |
| 650 | 6 | |a Groupes modulaires. | |
| 650 | 7 | |a Cusp forms (Mathematics) |2 fast | |
| 650 | 7 | |a Modular groups |2 fast | |
| 650 | 7 | |a Siegel domains |2 fast | |
| 700 | 1 | |a Saha, Abhishek, |d 1982- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjDxQJr7YV7RRQX6V68hDy | |
| 700 | 1 | |a Schmidt, Ralf, |d 1968- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjBmqHHRH9QffWdRRrF4tq | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Transfer of Siegel cusp forms of degree 2 (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGj8vhPQ9xhqdDKwWr4XV3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Pitale, Ameya, 1977- |t Transfer of Siegel cusp forms of degree 2. |d Providence, Rhode Island : American Mathematical Society, 2014 |z 9780821898567 |w (DLC) 2014024655 |w (OCoLC)881848594 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1090. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5295323 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37444891 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5295323 | ||
| 938 | |a YBP Library Services |b YANK |n 12358258 | ||
| 994 | |a 92 |b IZTAP | ||