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

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.

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