P. Kewat

activity

20122026

most citedOn the local and global exterior square L-functions

5 citations · 12 across the 12 of their papers we have counts for

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math.NT2021

Generalizations of Jacobsthal sums and hypergeometric series over finite fields

Pramod Kumar Kewat, Ram Kumar

For non-negative integers $l_{1}, l_{2}, \dots, l_{n}$ , we define character sums $φ_{(l_{1}, l_{2}, \dots, l_{n})}$ and $ψ_{(l_{1}, l_{2}, \dots, l_{n})}$ over a finite field which…

math.NT2016

Hypergeometric functions and algebraic curves $y^{e} = x^{d} + a x + b$

Pramod Kumar Kewat, Ram Kumar

Let $q$ be a prime power and $F_{q}$ be a finite field with $q$ elements. Let $e$ and $d$ be positive integers. In this paper, for $d \geq 2$ and $q\equiv1(\mathrm{mod}~ed(d-1…

math.NT2012★ 5 cited

On the local and global exterior square L-functions

Pramod Kumar Kewat, Ravi Raghunathan

We show that the local exterior square L-functions of GL_n constructed via the theory of integral representations by Jacquet and Shalika coincide with those constructed by the Lang…

Generalizations of Jacobsthal sums and hypergeometric series over finite fields

Hypergeometric functions and algebraic curves ye=xd+ax+b

On the local and global exterior square L-functions

Hypergeometric functions and algebraic curves $y^{e} = x^{d} + a x + b$