N. Saikia

collaborators

4 papers

math.NT2020

Zeros of hypergeometric functions in the $p$ -adic setting

Neelam Saikia

Let $p$ be an odd prime and $F_{p}$ be the finite field with $p$ elements. McCarthy \cite{mccarthy-pacific} initiated a study of hypergeometric functions in the $p$ -adic set…

math.NT2020

$p$ -Adic hypergeometric functions in the connections with certain twisted Kloosterman sheaf sum and modular forms

Neelam Saikia

In this paper we establish certain identities connecting $p$ -adic hypergeometric functions with 4-th twisted Kloosterman sheaf sum. To prove these identities we express certain cha…

math.NT2020

Zeros of $p$ -adic hypergeometric functions, $p$ -adic analogues of Kummer's and Pfaff's identities

Neelam Saikia

We classify all the zeros and non-zero values of a family of hypergeometric series in the $p$ -adic setting. These values of hypergeometric series in the $p$ -adic setting lead to tr…

math.NT2018

Certain character sums and hypergeometric series

Rupam Barman, Neelam Saikia

We prove two transformations for the $p$ -adic hypergeometric series which can be described as $p$ -adic analogues of a Kummer's linear transformation and a transformation of Clausen…

Zeros of hypergeometric functions in the p-adic setting

p-Adic hypergeometric functions in the connections with certain twisted Kloosterman sheaf sum and modular forms

Zeros of p-adic hypergeometric functions, p-adic analogues of Kummer's and Pfaff's identities

Certain character sums and hypergeometric series

Zeros of hypergeometric functions in the $p$ -adic setting

$p$ -Adic hypergeometric functions in the connections with certain twisted Kloosterman sheaf sum and modular forms

Zeros of $p$ -adic hypergeometric functions, $p$ -adic analogues of Kummer's and Pfaff's identities