4 papers
Weighted averages of -adic hypergeometric functions and traces of Frobenius of elliptic curves
Riya Mandal, Neelam Saikia
In this paper, we aim to study traces of Frobenius of certain one parameter families of elliptic curves and their relationships with -adic hypergeometric functions. For example,…
Fourth power moment of twisted Kloosterman sum and Hurwitz class numbers
Neelam Saikia
In this paper, we investigate the fourth power moment of twisted Kloosterman sum and its relationship with Hurwitz class number. We derive an explicit formula expressing this momen…
Distribution of the Hessian values of Gaussian hypergeometric functions
Ken Ono, Sudhir Pujahari, Hasan Saad +1
We consider a special family of Gaussian hypergeometric functions whose entries are cubic and trivial characters over finite fields. The special values of these functions are known…
Distribution of rational points of an algebraic surface over finite fields
Sudhir Pujahari, Neelam Saikia
The number of points on a certain one parameter family of algebraic surface over a finite field $\F_p$ can be expressed as where is a character sum and $λ…