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On central critical values of the degree four L-functions for GSp(4) : the fundamental lemma /

Statement of results Gauss sum, Kloosterman sum and Salie sum Matrix argument Kloosterman sums Evaluation of the Novodvorsky orbital integral Evaluation of the Bessel orbital integral Evaluation of the quadratic orbital integral Bibliography.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Furusawa, Masaaki
Otros Autores: Shalika, Joseph A., 1941-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 2003.
Colección:Memoirs of the American Mathematical Society ; no. 782.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Furusawa, Masaaki. 
245 1 0 |a On central critical values of the degree four L-functions for GSp(4) :  |b the fundamental lemma /  |c Masaaki Furusawa, Joseph A. Shalika. 
260 |a Providence, R.I. :  |b American Mathematical Society,  |c 2003. 
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490 1 |a Memoirs of the American Mathematical Society,  |x 1947-6221 ;  |v v. 782 
500 |a "Volume 164, number 782 (fourth of 5 numbers)." 
504 |a Includes bibliographical references (pages 138-139). 
588 0 |a Print version record. 
520 8 |a Statement of results Gauss sum, Kloosterman sum and Salie sum Matrix argument Kloosterman sums Evaluation of the Novodvorsky orbital integral Evaluation of the Bessel orbital integral Evaluation of the quadratic orbital integral Bibliography. 
505 0 |a Contents -- Abstract -- Introduction -- Chapter 1. Statement of Results -- 1.1. The Global Relative Trace Formulas -- 1.2. Notation -- 1.3. Main Results -- Chapter 2. Gauss Sum, Kloosterman Sum and Salié Sum -- 2.1. Gauss sum -- 2.2. Kloosterman sum and Salié sum -- 2.3. The Davenport-Hasse relation -- Chapter 3. Matrix Argument Kloosterman Sums -- 3.1. Kloosterman sum over n by n symmetric matrices -- 3.2. Evaluation of the split Kloosterman sum -- 3.3. Evaluation of the anisotropic Kloosterman sum -- 3.4. Evaluation of the quadratic Kloosterman sum 
505 8 |a Chapter 4. Evaluation of the Novodvorsky Orbital Integral4.1. Double coset decomposition -- 4.2. Relevant double cosets -- 4.3. Evaluation of the Novodvorsky orbital integral -- Chapter 5. Evaluation of the Bessel Orbital Integral -- 5.1. Relevant double cosets -- 5.2. Evaluation of the Bessel orbital integral -- Chapter 6. Evaluation of the Quadratic Orbital Integral -- 6.1. Double coset decomposition -- 6.2. Relevant double cosets -- 6.3. Evaluation of the quadratic orbital integral -- Bibliography 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Siegel domains. 
650 0 |a Modular groups. 
650 0 |a Automorphic forms. 
650 6 |a Domaines de Siegel. 
650 6 |a Groupes modulaires. 
650 6 |a Formes automorphes. 
650 7 |a Automorphic forms  |2 fast 
650 7 |a Modular groups  |2 fast 
650 7 |a Siegel domains  |2 fast 
700 1 |a Shalika, Joseph A.,  |d 1941-  |1 https://id.oclc.org/worldcat/entity/E39PBJcGrvHc6TYmgxhftg7bVC 
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776 0 8 |i Print version:  |a Furusawa, Masaaki.  |t On central critical values of the degree four L-functions for GSp(4) :  |x 0065-9266  |z 9780821833285 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 782.  |x 0065-9266 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114355  |z Texto completo 
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