Sulakashna

activity

20222024

F_{q}

-points on Diagonal hypersurfaces and hypergeometric function

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.NT2024

Generalized twisted Edwards curves over finite fields and hypergeometric functions

Rupam Barman, Sipra Mairty, Sulakashna

Let $F_{q}$ be a finite field with $q$ elements. For $a, b, c, d, e, f \in F_{q}^{\times}$ , denote by $C_{a, b, c, d, e, f}$ the family of algebraic curves over $F_{q}$ …

math.NT2024

$p$ -Adic hypergeometric functions and certain weight three newforms

Sulakashna, Rupam Barman

For an odd prime $p$ and a positive integer $n$ , let $_{n} G_{n} [\dots]_{p}$ denote McCarthy's $p$ -adic hypergeometric function. In this article, we prove $p$ -adic analogue of certain…

math.NT2023

$p$ -Adic hypergeometric functions and the trace of Frobenius of elliptic curves

Sulakashna, Rupam Barman

Let $p$ be an odd prime and $q = p^{r}$ , $r \geq 1$ . For positive integers $n$ , let $_{n} G_{n} [\dots]_{q}$ denote McCarthy's $p$ -adic hypergeometric functions. In this article, we prove an…

math.NT2022★ 1 cited

Number of $F_{q}$ -points on Diagonal hypersurfaces and hypergeometric function

Sulakashna, Rupam Barman

Let $D_{λ}^{d}$ denote the family of monomial deformations of diagonal hypersurface over a finite field $F_{q}$ given by \begin{align*} D_λ^d: X_1^d+X_2^d+\cdots+X_n^d=λd X_1^{h…

math.NT2022

Certain transformations and values of p-adic hypergeometric functions

Sulakashna, Rupam Barman

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

Generalized twisted Edwards curves over finite fields and hypergeometric functions

p-Adic hypergeometric functions and certain weight three newforms

p-Adic hypergeometric functions and the trace of Frobenius of elliptic curves

Number of Fq​-points on Diagonal hypersurfaces and hypergeometric function

Certain transformations and values of p-adic hypergeometric functions

$p$ -Adic hypergeometric functions and certain weight three newforms

$p$ -Adic hypergeometric functions and the trace of Frobenius of elliptic curves

Number of $F_{q}$ -points on Diagonal hypersurfaces and hypergeometric function