Transfer of Siegel cusp forms of degree 2:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
2014
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
1090 = Vol. 232,2 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 232, number 1090 (second of 6 numbers), November 2014." Literaturverz. S. 103 - 107 |
| Beschreibung: | V, 107 S. |
| ISBN: | 9780821898567 |
Internformat
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| 245 | 1 | 0 | |a Transfer of Siegel cusp forms of degree 2 |c Ameya Pitale ; Abhishek Saha ; Ralf Schmidt |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2014 | |
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Datensatz im Suchindex
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| adam_text | Titel: Transfer of Siegel cusp forms of degree 2
Autor: Pitale, Ameya
Jahr: 2014
Contents Introduction 1 Notation 17 Chapter 1. Distinguished vectors in local representations 21 1.1. Parabolic induction to GU(2, 2) 21 1.2. Distinguished vectors: non-archimedean case 23 1.3. Distinguished vectors: archimedean case 26 1.4. Intertwining operator: non-archimedean case 35 1.5. Intertwining operator: archimedean case 39 Chapter 2. Global L- functions for GSp 4 x GL 2 45 2.1. Bessel models for GSp 4 45 2.2. Local zeta integrals 48 2.3. The global integral representation 54 2.4. The functional equation 59 Chapter 3. The pullback formula 63 3.1. Local sections: non-archimedean case 63 3.2. The local pullback formula: non-archimedean case 65 3.3. Local sections: archimedean case 70 3.4. The local pullback formula: archimedean case 73 3.5. The global pullback formula 75 3.6. The second global integral representation 78 Chapter 4. Holomorphy of global L-functions for GSp 4 x GL 2 81 4.1. Preliminary considerations 81 4.2. Eisenstein series and Weil representations 82 4.3. The Siegel-Weil formula and the proof of entireness 86 Chapter 5. Applications 89 5.1. The transfer theorems 89 5.2. Analytic properties of L-functions 96 5.3. Critical values of L-functions 99 Bibliography 103
|
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:14:11Z |
| institution | BVB |
| isbn | 9780821898567 |
| language | English |
| lccn | 2014024655 |
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| physical | V, 107 S. |
| publishDate | 2014 |
| publishDateSearch | 2014 |
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| publisher | American Math. Soc. |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Pitale, Ameya 1977- Verfasser (DE-588)106023114X aut Transfer of Siegel cusp forms of degree 2 Ameya Pitale ; Abhishek Saha ; Ralf Schmidt Providence, RI American Math. Soc. 2014 V, 107 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 1090 = Vol. 232,2 "Volume 232, number 1090 (second of 6 numbers), November 2014." Literaturverz. S. 103 - 107 Siegel-Modulform (DE-588)4129460-9 gnd rswk-swf Siegel-Modulform (DE-588)4129460-9 s DE-604 Saha, Abhishek 1982- Verfasser (DE-588)1060231506 aut Schmidt, Ralf 1968- Verfasser (DE-588)120023237 aut Memoirs of the American Mathematical Society 1090 = Vol. 232,2 (DE-604)BV008000141 1090 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027599571&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pitale, Ameya 1977- Saha, Abhishek 1982- Schmidt, Ralf 1968- Transfer of Siegel cusp forms of degree 2 Memoirs of the American Mathematical Society Siegel-Modulform (DE-588)4129460-9 gnd |
| subject_GND | (DE-588)4129460-9 |
| title | Transfer of Siegel cusp forms of degree 2 |
| title_auth | Transfer of Siegel cusp forms of degree 2 |
| title_exact_search | Transfer of Siegel cusp forms of degree 2 |
| title_full | Transfer of Siegel cusp forms of degree 2 Ameya Pitale ; Abhishek Saha ; Ralf Schmidt |
| title_fullStr | Transfer of Siegel cusp forms of degree 2 Ameya Pitale ; Abhishek Saha ; Ralf Schmidt |
| title_full_unstemmed | Transfer of Siegel cusp forms of degree 2 Ameya Pitale ; Abhishek Saha ; Ralf Schmidt |
| title_short | Transfer of Siegel cusp forms of degree 2 |
| title_sort | transfer of siegel cusp forms of degree 2 |
| topic | Siegel-Modulform (DE-588)4129460-9 gnd |
| topic_facet | Siegel-Modulform |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027599571&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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