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math.PR2024
The number of solutions of a random system of polynomials over a finite field
Ritik Jain
We study the probability distribution of the number of common zeros of a system of random -variate polynomials over a finite commutative ring . We compute the expected nu…
math.PR2023
Distribution of the number of zeros of polynomials over a finite field
Ritik Jain, Han-Bom Moon, Peter Wu
We study the probability distribution of the number of zeros of multivariable polynomials with bounded degree over a finite field. We find the probability generating function for e…