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math.NT2017
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…
math.NT2010★ 1 cited
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…