On Central Critical Values Of The Degree Four L Functions For Gsp 4

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On Central Critical Values Of The Degree Four L Functions For Gsp 4 The Fundamental Lemma Iii

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Author : Masaaki Furusawa
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-08-23

On Central Critical Values Of The Degree Four L Functions For Gsp 4 The Fundamental Lemma Iii 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 2013-08-23 with Mathematics categories.

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 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}].

Transfer Of Siegel Cusp Forms Of Degree 2

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Author : Ameya Pitale
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-09-29

Transfer Of Siegel Cusp Forms Of Degree 2 written by Ameya Pitale 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 2014-09-29 with Mathematics categories.

Let be the automorphic representation of generated by a full level cuspidal Siegel eigenform that is not a Saito-Kurokawa lift, and be an arbitrary cuspidal, automorphic representation of . Using Furusawa's integral representation for combined with a pullback formula involving the unitary group , the authors prove that the -functions are "nice". The converse theorem of Cogdell and Piatetski-Shapiro then implies that such representations have a functorial lifting to a cuspidal representation of . Combined with the exterior-square lifting of Kim, this also leads to a functorial lifting of to a cuspidal representation of . As an application, the authors obtain analytic properties of various -functions related to full level Siegel cusp forms. They also obtain special value results for and

Algebraic Groups

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Author : Yuri Tschinkel
language : en
Publisher: Universitätsverlag Göttingen
Release Date : 2007

Algebraic Groups written by Yuri Tschinkel and has been published by Universitätsverlag Göttingen this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Algebraic varieties categories.

Local Zeta Functions Attached To The Minimal Spherical Series For A Class Of Symmetric Spaces

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Author : Nicole Bopp
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Local Zeta Functions Attached To The Minimal Spherical Series For A Class Of Symmetric Spaces written by Nicole Bopp 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 2005 with Mathematics categories.

Intends to prove a functional equation for a local zeta function attached to the minimal spherical series for a class of real reductive symmetric spaces.

Points On Quantum Projectivizations

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Author :
language : en
Publisher: American Mathematical Soc.
Release Date :

Points On Quantum Projectivizations written by 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 with categories.

Exponentially Small Splitting Of Invariant Manifolds Of Parabolic Points

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Author :
language : en
Publisher: American Mathematical Soc.
Release Date :

Exponentially Small Splitting Of Invariant Manifolds Of Parabolic Points written by 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 with categories.

Positive Definite Functions On Infinite Dimensional Convex Cones

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Author : Helge Glöckner
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

Positive Definite Functions On Infinite Dimensional Convex Cones written by Helge Glöckner 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.

A memoir that studies positive definite functions on convex subsets of finite- or infinite-dimensional vector spaces. It studies representations of convex cones by positive operators on Hilbert spaces. It also studies the interplay between positive definite functions and representations of convex cones.

A Generating Function Approach To The Enumeration Of Matrices In Classical Groups Over Finite Fields

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Author : Jason Fulman
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

A Generating Function Approach To The Enumeration Of Matrices In Classical Groups Over Finite Fields written by Jason Fulman 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 2005 with Mathematics categories.

Generating function techniques are used to study the probability that an element of a classical group defined over a finite field is separable, cyclic, semisimple or regular. The limits of these probabilities as the dimension tends to infinity are calculated in all cases, and exponential convergence to the limit is proved. These results complement and extend earlier results of the authors, G. E. Wall, and Guralnick & Lubeck.

Maximum Principles On Riemannian Manifolds And Applications

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Author : Stefano Pigola
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Maximum Principles On Riemannian Manifolds And Applications written by Stefano Pigola 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 2005 with Mathematics categories.

Aims to introduce the reader to various forms of the maximum principle, starting from its classical formulation up to generalizations of the Omori-Yau maximum principle at infinity obtained by the authors.