%0 Journal Article
%T Summation identities and special values of hypergeometric series in the $p$-adic setting
%A Rupam Barman
%A Neelam Saikia
%A Dermot McCarthy
%J Mathematics
%D 2014
%I arXiv
%X We prove hypergeometric type summation identities for a function defined in terms of quotients of the $p$-adic gamma function by counting points on certain families of hyperelliptic curves over $\mathbb{F}_{q}$. We also find certain special values of that function.
%U http://arxiv.org/abs/1408.5003v1