10 papers
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 Jacobi sums arising from the classical doubling method
Calvin Yost-Wolff, Elad Zelingher
We define the notion of a non-abelian Jacobi sum attached to an irreducible representation of a general linear group or a class…
On exotic matrix exponential sums and Bessel-Speh functions
Elad Zelingher
In a previous work with Carmon, we defined Bessel--Speh functions. These are matrix coefficients of irreducible Speh representations of , where $\math…
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…