| Description |
1 online resource (v, 107 pages) |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; volume 232, number 1090 |
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Memoirs of the American Mathematical Society ; no. 1090.
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| Contents |
Introduction Notation Chapter 1. Distinguished vectors in local representations Chapter 2. Global $L$-functions for $\textup {GSp}_4\times \textup {GL}_2$ Chapter 3. The pullback formula Chapter 4. Holomorphy of global $L$-functions for $\textup {GSp}_4 \times \textup {GL}_2$ Chapter 5. Applications |
| Summary |
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 |
| Notes |
"Volume 232, Number 1090 (second of 6 numbers), November 2014." |
| Bibliography |
Includes bibliographical references (pages 103-107) |
| Notes |
English |
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Print version record |
| Subject |
Cusp forms (Mathematics)
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Siegel domains.
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Modular groups.
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Cusp forms (Mathematics)
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Modular groups
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Siegel domains
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| Form |
Electronic book
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| Author |
Saha, Abhishek, 1982- author.
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Schmidt, Ralf, 1968- author.
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American Mathematical Society, publisher
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| ISBN |
9781470418939 |
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1470418932 |
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