Zobrazeno 1 - 10
of 122
pro vyhledávání: '"Soudry, David"'
Autor:
Ginzburg, David, Soudry, David
We determine the poles of the Eisenstein series on a general linear group, induced from two Speh representations, $\Delta(\tau,m_1)|\cdot|^s\times\Delta(\tau,m_2)|\cdot|^{-s}$, $Re(s)\geq 0$, where $\tau$ is an irreducible, unitary, cuspidal, automor
Externí odkaz:
http://arxiv.org/abs/2410.23026
Autor:
Soudry, David, Zelingher, Elad
Publikováno v:
Ess. Number Th. 2 (2023) 45-82
We use the Langlands--Shahidi method in order to define the Shahidi gamma factor for a pair of irreducible generic representations of $\operatorname{GL}_n\left(\mathbb{F}_q\right)$ and $\operatorname{GL}_m\left(\mathbb{F}_q\right)$. We prove that the
Externí odkaz:
http://arxiv.org/abs/2301.04964
Autor:
Ginzburg, David, Soudry, David
In this paper, we propose a formula relating certain residues of Eisenstein series on symplectic groups. These Eisenstein series are attached to parabolic data coming from Speh representations. The proposed formula bears a strong similarity to the re
Externí odkaz:
http://arxiv.org/abs/2207.12818
Autor:
Ginzburg, David, Soudry, David
We consider the residues at the poles in the right half plane of Eisenstein series, on symplectic groups, or their double covers, induced from Speh representations. We show that for each such pole, there is a unique maximal nilpotent orbit, attached
Externí odkaz:
http://arxiv.org/abs/2012.03717
Autor:
Ginzburg, David, Soudry, David
Let ${\bf A}$ be the ring of adeles of a number field $F$. Given a self-dual irreducible, automorphic, cuspidal representation $\tau$ of $\GL_n(\BA)$, with trivial central characters, we construct its full inverse image under the weak Langlands funct
Externí odkaz:
http://arxiv.org/abs/2008.02462
Autor:
Ginzburg, David, Soudry, David
In this note, we use a basic identity, derived from the generalized doubling integrals of \cite{C-F-G-K1}, in order to explain the existence of various global Rankin-Selberg integrals for certain $L$-functions. To derive these global integrals, we us
Externí odkaz:
http://arxiv.org/abs/1810.08913
Autor:
Ginzburg, David, Soudry, David
In this paper we introduce two general identities relating Eisenstein series on split classical groups, as well as double covers of symplectic groups. The first identity can be viewed as an extension of the doubling construction introduced in [CFGK17
Externí odkaz:
http://arxiv.org/abs/1808.01572
Autor:
Ginzburg, David, Soudry, David
Publikováno v:
In Journal of Number Theory June 2022 235:1-156
Autor:
Ginzburg, David, Soudry, David
Publikováno v:
In Journal of Number Theory April 2021 221:1-108
Autor:
Morimoto, Kazuki, Soudry, David
Publikováno v:
In Journal of Number Theory November 2020 216:83-141