16 citations · 40 across the 20 of their papers we have counts for
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Hypergeometric Functions over Finite Fields
Jenny Fuselier, Ling Long, Ravi Ramakrishna +2
Building on the developments of many people including Evans, Greene, Katz, McCarthy, Ono, Roberts, and Rodriguez-Villegas, we consider period functions for hypergeometric type alge…
A proof of some conjectures of Mao on partition rank inequalities
Ethan Alwaise, Elena Iannuzzi, Holly Swisher
Based on work of Atkin and Swinnerton-Dyer on partition rank difference functions, and more recent work of Lovejoy and Osburn, Mao has proved several inequalities between partition…
A periodic approach to plane partition congruences
Matthew S. Mizuhara, James A. Sellers, Holly Swisher
Ramanujan's celebrated congruences of the partition function have inspired a vast amount of results on various partition functions. Kwong's work on periodicity of rational p…
On the supercongruence conjectures of van Hamme
Holly Swisher
In 1997, van Hamme developed adic analogs, for primes , of several series which relate hypergeometric series to values of the gamma function, originally studied by Ramanujan…
Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions
Alyson Deines, Jenny G. Fuselier, Ling Long +2
In this paper, we investigate the relationships among hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions through some families of `hyperg…