4 citations · 5 across the 2 of their papers we have counts for
3 papers
math.NT2022★ 1 cited
Restricted Variable Chevalley-Warning Theorems
Anurag Bishnoi, Pete L. Clark
We pursue various restricted variable generalizations of the Chevalley-Warning theorem for low degree polynomial systems over a finite field. Our first such result involves variabl…
math.NT2017★ 4 cited
A generalization of the theorems of Chevalley-Warning and Ax-Katz via polynomial substitutions
Ioulia N. Baoulina, Anurag Bishnoi, Pete L. Clark
We give conditions under which the number of solutions of a system of polynomial equations over a finite field F_q of characteristic p is divisible by p. Our setup involves the sub…
math.CO2015
On zeros of a polynomial in a finite grid
Anurag Bishnoi, Pete L. Clark, Aditya Potukuchi +1
A 1993 result of Alon and Füredi gives a sharp upper bound on the number of zeros of a multivariate polynomial over an integral domain in a finite grid, in terms of the degree of t…