4 citations · 5 across the 5 of their papers we have counts for
5 papers
A Cubic Transformation Formula for Appell-Lauricella Hypergeometric Functions over Finite Fields
Sharon Frechette, Holly Swisher, Fang-Ting Tu
We define a finite-field version of Appell-Lauricella hypergeometric functions built from period functions in several variables, paralleling the development by Fuselier, et. al in…
Shalika germs for sl(n) and sp(2n) are motivic
Sharon Frechette, Julia Gordon, Lance Robson
We prove that Shalika germs on the Lie algebras sl(n) and sp(2n) belong to the class of so-called `motivic functions' defined by means of a first-order language of logic. We also p…
Newly reducible iterates in families of quadratic polynomials
Katharine Chamberlin, Emma Colbert, Sharon Frechette +3
We examine the question of when a quadratic polynomial f(x) defined over a number field K can have a newly reducible nth iterate, that is, f^n(x) irreducible over K but f^{n+1}(x)…
Weyl group multiple Dirichlet series of type C
Jennifer Beineke, Ben Brubaker, Sharon Frechette
We develop the theory of Weyl group multiple Dirichlet series for root systems of type C. For an arbitrary root system of rank r and a positive integer n, these are Dirichlet serie…
Determinants Associated to Zeta Matrices of Posets
Cristina M. Ballantine, Sharon M. Frechette, John B. Little
We consider the matrix , where the entries of are the values of the zeta function of the finite poset . We give a combinatorial interpretation of th…