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19992022
most citedCriteria for the Existence of Cuspidal Theta Representations

13 citations · 59 across the 23 of their papers we have counts for

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math.RT2022

A new regularized Siegel-Weil type formula, part I

David Ginzburg, David Soudry

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 rep…

math.RT2020

Top Fourier coefficients of residual Eisenstein series on symplectic or metaplectic groups induced from Speh representations

David Ginzburg, David Soudry

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 fo…

math.RT2020

Double Descent in Classical Groups

David Ginzburg, David Soudry

Let be the ring of adeles of a number field . Given a self-dual irreducible, automorphic, cuspidal representation of $\GL_n(\BA)$, with trivial central characters,…

math.RT2020★ 4 cited

Classical Theta Lifts for Higher Metaplectic Covering Group

Solomon Friedberg, David Ginzburg

The classical theta correspondence establishes a relationship between automorphic representations on special orthogonal groups and automorphic representations on symplectic groups…

math.RT2019★ 3 cited

Tensor Product -Functions On Metaplectic Covering Groups of

David Ginzburg

In this note we compute some local unramified integrals defined on metaplectic covering groups of . These local integrals which were introduced by Suzuki, represent the standar…

math.RT2018

Two Identities relating Eisenstein series on classical groups

David Ginzburg, David Soudry

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 vie…