8 papers · 1 filter
Kloosterman sheaves and Bessel functions for generic principal series of finite groups
Robert Cass, Miao Pam Gu, Elad Zelingher
Let be a quasi-split reductive group over a finite field and let be the Langlands dual group. Assuming the derived subgroup of is almost simple, we use techniques from…
On the Godement-Jacquet functional equation for finite matrix monoids
Elad Zelingher
In previous work with Harman and Snowden, we found explicit formulas for units of rank ideals of the matrix monoid algebra $\mathbb{K}\left[\operatorname{Mat}_n\left(\mathbb{F}_q\r…
On classical doubling method gamma factors for certain depth zero representations
Johannes Girsch, Elad Zelingher
Piatetski-Shapiro--Rallis discovered an integral representation construction, known as the doubling method, for the tensor product -function of a cuspidal automorphic representa…
On Ginzburg-Kaplan gamma factors and Bessel-Speh functions for finite general linear groups
Oded Carmon, Elad Zelingher
We give a new construction of tensor product gamma factors for a pair of irreducible representations of and $\operatorname{GL}_k\left…
Representations of finite matrix monoids
Nate Harman, Andrew Snowden, Elad Zelingher
Let be the multiplicative monoid of matrices over a finite field. The monoid algebra has been studied for several decades…
On a Casselman-Shalika type formula for unramified Speh representations
Elad Zelingher
We give a Casselman-Shalika type formula for unramified Speh representations. Our formula computes values of the normalized spherical element of the model of a Speh represe…