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math.NT2014
Summation identities and special values of hypergeometric series in the -adic setting
Rupam Barman, Neelam Saikia, Dermot McCarthy
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 hyperellipti…
math.NT2014
Certain Transformations for Hypergeometric series in -adic setting
Rupam Barman, Neelam Saikia
In \cite{mccarthy2}, McCarthy defined a function using the Teichmüller character of finite fields and quotients of the -adic gamma function. This function ex…