Summation identities and special values of hypergeometric series in the $p$-adic setting
Number Theory
2014-08-22 v1
Abstract
We prove hypergeometric type summation identities for a function defined in terms of quotients of the -adic gamma function by counting points on certain families of hyperelliptic curves over . We also find certain special values of that function.
Keywords
Cite
@article{arxiv.1408.5003,
title = {Summation identities and special values of hypergeometric series in the $p$-adic setting},
author = {Rupam Barman and Neelam Saikia and Dermot McCarthy},
journal= {arXiv preprint arXiv:1408.5003},
year = {2014}
}
Comments
27 pages