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math.NT2017
Mock modularity of the -rank of overpartitions
Chris Jennings-Shaffer, Holly Swisher
We investigate the modular properties of a new partition rank, the -rank of overpartitions. In fact this is an infinite family of ranks, indexed by the positive integer , t…
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…