5 citations · 19 across the 16 of their papers we have counts for
16 papers
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 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 classica…
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 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 Speh representations for level zero supercuspidal representations and Ginzburg-Kaplan gamma factors
Elad Zelingher
We establish a relation between Speh representations of and Speh representations of , where is a non-archi…
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…
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…
On tori periods of Weil representations of unitary groups
Neelima Borade, Jonas Franzel, Johannes Girsch +3
We determine the restriction of Weil representations of unitary groups to maximal tori. In the local case, we show that the Weil representation contains a pair of compatible charac…
On matrix Kloosterman sums and Hall-Littlewood polynomials
Elad Zelingher
We prove an identity relating twisted matrix Kloosterman sums to modified Hall-Littlewood polynomials evaluated at the roots of the characteristic polynomial associated to a twiste…
On gamma factors for representations of finite general linear groups
David Soudry, Elad Zelingher
We use the Langlands--Shahidi method in order to define the Shahidi gamma factor for a pair of irreducible generic representations of …
On values of the Bessel function for generic representations of finite general linear groups
Elad Zelingher
We find a recursive expression for the Bessel function of S. I. Gelfand for irreducible generic representations of . We show that spec…
Exterior square gamma factors for cuspidal representations of : simple supercuspidal representations
Rongqing Ye, Elad Zelingher
We compute the local twisted exterior square gamma factors for simple supercuspidal representations, using which we prove a local converse theorem for simple supercuspidal represen…
Epsilon factors of representations of finite general linear groups
Rongqing Ye, Elad Zelingher
We define epsilon factors for irreducible representations of finite general linear groups using Macdonald's correspondence. These epsilon factors satisfy multiplicativity, and are…
Exterior square gamma factors for cuspidal representations of : finite field analogs and level zero representations
Rongqing Ye, Elad Zelingher
We follow Jacquet-Shalika, Matringe and Cogdell-Matringe to define exterior square gamma factors for irreducible cuspidal representations of . These ex…