Neelam Saikia

activity

20142023

collaborators

3 papers

math.NT2023

Values of $p$ -adic hypergeometric functions, and $p$ -adic analogue of Kummer's linear identity

Neelam Saikia

Let $p$ be an odd prime and $F_{p}$ be the finite field with $p$ elements. This paper focuses on the study of values of a generic family of hypergeometric functions in the $…

math.NT2022

Sato-Tate Distribution of $p$ -adic hypergeometric functions

Sudhir Pujahari, Neelam Saikia

Recently Ono, Saad and the second author \cite{KHN} initiated a study of value distribution of certain families of Gaussian hypergeometric functions over large finite fields. They…

math.NT2014

Summation identities and special values of hypergeometric series in the $p$ -adic setting

Rupam Barman, Neelam Saikia, Dermot McCarthy

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 hyperellipti…

Values of p-adic hypergeometric functions, and p-adic analogue of Kummer's linear identity

Sato-Tate Distribution of p-adic hypergeometric functions

Summation identities and special values of hypergeometric series in the p-adic setting

Values of $p$ -adic hypergeometric functions, and $p$ -adic analogue of Kummer's linear identity

Sato-Tate Distribution of $p$ -adic hypergeometric functions

Summation identities and special values of hypergeometric series in the $p$ -adic setting