%0 Journal Article
%T p-adic Gamma function and traces of Frobenius of elliptic curves
%A Rupam Barman
%A Neelam Saikia
%J Mathematics
%D 2013
%I arXiv
%X In \cite{mccarthy2}, McCarthy defined a function $_{n}G_{n}[\cdots]$ using Teichm\"{u}ller character of finite fields and quotients of $p$-adic gamma function, and expressed the trace of Frobenius of elliptic curves in terms of special values of $_{2}G_{2}[\cdots]$. We establish two different expressions for the traces of Frobenius of elliptic curves in terms of the function $_{2}G_{2}[\cdots]$. As a result, we obtain two relations between special values of the function $_{2}G_{2}[\cdots]$ with different parameters.
%U http://arxiv.org/abs/1304.3321v2