English

The Generalized Combinatorial Lason-Alon-Zippel-Schwartz Nullstellensatz Lemma

Combinatorics 2023-05-19 v1

Abstract

We survey a few strengthenings and generalizations of the Combinatorial Nullstellensatz of Alon and the Schwartz-Zippel Lemma. These lemmas guarantee the existence of (a certain number of) nonzeros of a multivariate polynomial when the variables run independently through sufficiently large ranges.

Keywords

Cite

@article{arxiv.2305.10900,
  title  = {The Generalized Combinatorial Lason-Alon-Zippel-Schwartz Nullstellensatz Lemma},
  author = {Günter Rote},
  journal= {arXiv preprint arXiv:2305.10900},
  year   = {2023}
}

Comments

19 pages, 3 figures