English

A Schwartz-Zippel Type Estimate for Homogenous Finite Field Polynomials

Combinatorics 2021-12-13 v1

Abstract

In this paper, we obtain a Schwartz-Zippel type estimate for homogenous finite field polynomials. Specifically, we use a probabilistic recursion technique to find upper and lower bounds for the number of zeros of a homogenous polynomial and illustrate our result with two examples involving perfect matching in bipartite graphs and common zeros in a collection of polynomials, respectively.

Keywords

Cite

@article{arxiv.2112.05618,
  title  = {A Schwartz-Zippel Type Estimate for Homogenous Finite Field Polynomials},
  author = {Ghurumuruhan Ganesan},
  journal= {arXiv preprint arXiv:2112.05618},
  year   = {2021}
}

Comments

Accepted for publication in First International Conference on Mathematics and Computation (ICMC 2021), REC Kannauj