On Central Critical Values Of The Degree Four L Functions For Mathrm Gsp 4 The Fundamental Lemma
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On Central Critical Values Of The Degree Four L Functions For Mathrm Gsp 4 The Fundamental Lemma
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Author : Masaaki Furusawa
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
On Central Critical Values Of The Degree Four L Functions For Mathrm Gsp 4 The Fundamental Lemma written by Masaaki Furusawa and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
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
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Author : Masaaki Furusawa
language : en
Publisher:
Release Date : 2014-09-11
On Central Critical Values Of The Degree Four L Functions For Gsp 4 written by Masaaki Furusawa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Automorphic forms categories.
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 Gsp 4
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Author : Masaaki Furusawa
language : en
Publisher:
Release Date : 2014-09-11
On Central Critical Values Of The Degree Four L Functions For Gsp 4 written by Masaaki Furusawa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Automorphic forms categories.
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.
On Critical Values Of L Functions For Holomorphic Forms On Gsp 4 X Gl 2
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Author : Abhishek Saha
language : en
Publisher:
Release Date : 2009
On Critical Values Of L Functions For Holomorphic Forms On Gsp 4 X Gl 2 written by Abhishek Saha and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Electronic dissertations categories.
Value Distribution Of L Functions
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Author : Jörn Steuding
language : en
Publisher: Springer
Release Date : 2007-05-26
Value Distribution Of L Functions written by Jörn Steuding and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-26 with Mathematics categories.
These notes present recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality. Universality has a strong impact on the zero-distribution: Riemann’s hypothesis is true only if the Riemann zeta-function can approximate itself uniformly. The text proves universality for polynomial Euler products. The authors’ approach follows mainly Bagchi's probabilistic method. Discussion touches on related topics: almost periodicity, density estimates, Nevanlinna theory, and functional independence.
Degree 16 Standard L Function Of Gsp 2 Times Gsp 2
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Author : Dihua Jiang
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Degree 16 Standard L Function Of Gsp 2 Times Gsp 2 written by Dihua Jiang and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
Automorphic L-functions, introduced by Robert Langlands in the 1960s, are natural extensions of such classical L-functions as the Riemann zeta function, Hecke L-functions, etc. They form an important part of the Langlands Program, which seeks to establish connections among number theory, representation theory, and geometry. This book offers, via the Rankin-Selberg method, a thorough and comprehensive examination of the degree 16 standard L-function of the product of two rank two symplectic similitude groups, which includes the study of the global integral of Rankin-Selberg type and local integrals, analytic properties of certain Eisenstein series of symplectic groups, and the relevant residue representations.
Critical Values For L Functions On Gsp2 X Gi2
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Author : Siegfried Böcherer
language : en
Publisher:
Release Date : 2000
Critical Values For L Functions On Gsp2 X Gi2 written by Siegfried Böcherer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
The Critical Values Of Exterior Square L Functions On Gl 2
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Author : Yasuko Hasegawa
language : en
Publisher:
Release Date : 2013
The Critical Values Of Exterior Square L Functions On Gl 2 written by Yasuko Hasegawa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Non Vanishing Of L Functions And Applications
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Author : M. Ram Murty
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-05
Non Vanishing Of L Functions And Applications written by M. Ram Murty and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-05 with Mathematics categories.
This volume develops methods for proving the non-vanishing of certain L-functions at points in the critical strip. It begins at a very basic level and continues to develop, providing readers with a theoretical foundation that allows them to understand the latest discoveries in the field.
Distribution Theorems Of L Functions
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Author : David Joyner
language : en
Publisher: Longman Scientific and Technical
Release Date : 1986
Distribution Theorems Of L Functions written by David Joyner and has been published by Longman Scientific and Technical this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.