On Central Critical Values Of The Degree Four L Functions For Gsp 4 The Fundamental Lemma Iii
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On Central Critical Values of the Degree Four L Functions for GSp 4 The Fundamental Lemma III
Author | : Masaaki Furusawa,Kimball Martin, Joseph A. Shalika |
Publsiher | : American Mathematical Soc. |
Total Pages | : 134 |
Release | : 2013-08-23 |
Genre | : Mathematics |
ISBN | : 9780821887424 |
Download On Central Critical Values of the Degree Four L Functions for GSp 4 The Fundamental Lemma III Book in PDF, Epub and Kindle
Some time ago, the first and third authors proposed two relative trace formulas to prove generalizations of Böcherer's conjecture on the central critical values of the degree four -functions for , and proved the relevant fundamental lemmas. Recently, the first and second authors proposed an alternative third relative trace formula to approach the same problem and proved the relevant fundamental lemma. In this paper the authors extend the latter fundamental lemma and the first of the former fundamental lemmas to the full Hecke algebra. The fundamental lemma is an equality of two local relative orbital integrals. In order to show that they are equal, the authors compute them explicitly for certain bases of the Hecke algebra and deduce the matching.
On Central Critical Values of the Degree Four L Functions for Gsp 4
![On Central Critical Values of the Degree Four L Functions for Gsp 4](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Masaaki Furusawa |
Publsiher | : Unknown |
Total Pages | : 134 |
Release | : 2014-09-11 |
Genre | : Automorphic forms |
ISBN | : 1470410575 |
Download On Central Critical Values of the Degree Four L Functions for Gsp 4 Book in PDF, Epub and Kindle
Some time ago, the first and third authors proposed two relative trace formulas to prove generalizations of B{uml}ocherer's conjecture on the central critical values of the degree four L-functions for GSp(4), and proved the relevant fundamental lemmas. Recently, the first and second authors proposed an alternative third relative trace formula to approach the same problem and proved the relevant fundamental lemma. In this paper the authors extend the latter fundamental lemma and the first of the former fundamental lemmas to the full Hecke algebra. The fundamental lemma is an equality of two local relative orbital integrals. In order to show that they are equal, the authors compute them explicitly for certain bases of the Hecke algebra and deduce the matching.
On Central Critical Values of the Degree Four L functions for mathrm GSp 4 The Fundamental Lemma
Author | : Masaaki Furusawa,Joseph A. Shalika |
Publsiher | : American Mathematical Soc. |
Total Pages | : 158 |
Release | : 2003 |
Genre | : Automorphic forms |
ISBN | : 9780821833285 |
Download On Central Critical Values of the Degree Four L functions for mathrm GSp 4 The Fundamental Lemma Book in PDF, Epub and Kindle
Proves two equalities of local Kloosterman integrals on $\mathrm{GSp}\left(4\right)$, the group of $4$ by $4$ symplectic similitude matrices. This book conjectures that both of Jacquet's relative trace formulas for the central critical values of the $L$-functions for $\mathrm{g1}\left(2\right)$ in [{J1}] and [{J2}].
On Central Critical Values of the Degree Four L Functions for Gsp 4
![On Central Critical Values of the Degree Four L Functions for Gsp 4](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Masaaki Furusawa |
Publsiher | : Unknown |
Total Pages | : 139 |
Release | : 2014-09-11 |
Genre | : Automorphic forms |
ISBN | : 1470403803 |
Download On Central Critical Values of the Degree Four L Functions for Gsp 4 Book in PDF, Epub and Kindle
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.
Algebraic Groups
Author | : Yuri Tschinkel |
Publsiher | : Universitätsverlag Göttingen |
Total Pages | : 168 |
Release | : 2007 |
Genre | : Algebraic varieties |
ISBN | : 9783938616772 |
Download Algebraic Groups Book in PDF, Epub and Kindle
Relative Equilibria in the 3 Dimensional Curved n Body Problem
Author | : Florin Diacu |
Publsiher | : American Mathematical Soc. |
Total Pages | : 80 |
Release | : 2014-03-05 |
Genre | : Mathematics |
ISBN | : 9780821891360 |
Download Relative Equilibria in the 3 Dimensional Curved n Body Problem Book in PDF, Epub and Kindle
Representation Type of Commutative Noetherian Rings III Global Wildness and Tameness
Author | : Lee Klingler,Lawrence S. Levy |
Publsiher | : American Mathematical Soc. |
Total Pages | : 170 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 9780821837382 |
Download Representation Type of Commutative Noetherian Rings III Global Wildness and Tameness Book in PDF, Epub and Kindle
This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring $\Lambda$, either the category of $\Lambda$-modules of finite length has wild representation type or else we can describe the category of finitely generated $\Lambda$-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)
Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces
Author | : David Dos Santos Ferreira,Wolfgang Staubach |
Publsiher | : American Mathematical Soc. |
Total Pages | : 65 |
Release | : 2014-04-07 |
Genre | : Mathematics |
ISBN | : 9780821891193 |
Download Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces Book in PDF, Epub and Kindle
The authors investigate the global continuity on spaces with of Fourier integral operators with smooth and rough amplitudes and/or phase functions subject to certain necessary non-degeneracy conditions. In this context they prove the optimal global boundedness result for Fourier integral operators with non-degenerate phase functions and the most general smooth Hörmander class amplitudes i.e. those in with . They also prove the very first results concerning the continuity of smooth and rough Fourier integral operators on weighted spaces, with and (i.e. the Muckenhoupt weights) for operators with rough and smooth amplitudes and phase functions satisfying a suitable rank condition.