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Combinatorial Nullstellensatz Techniques

Daniel L. Freed

Abstract

We present different techniques for applying Combinatorial Nullstellensatz to polynomials over finite fields. For examples, we generalize theorems from Noga Alon's paper on the subject, and present a few of our own.

Combinatorial Nullstellensatz Techniques

Abstract

We present different techniques for applying Combinatorial Nullstellensatz to polynomials over finite fields. For examples, we generalize theorems from Noga Alon's paper on the subject, and present a few of our own.
Paper Structure (11 sections, 13 equations)

This paper contains 11 sections, 13 equations.

Table of Contents

  1. [2]Combinatorial Nullstellensatz Techniques
  2. daniel l. freed university of chicago
  3. Section
  4. Abstract
  5. Introduction
  6. 1. Excluding a Value
  7. 1.1. A Generalization of the Chevalley-Warning Theorem
  8. 2. General Corollaries of Exclusion Polynomials
  9. 2. Expressions in $F_p$
  10. 1.2. A Different Approach
  11. References