English

Fattening up Warning's Second Theorem

Combinatorics 2015-06-24 v1 Commutative Algebra Number Theory

Abstract

We present a generalization of Warning's Second Theorem to polynomial systems over a finite local principal ring with suitably restricted input and output variables. This generalizes a recent result with Forrow and Schmitt (and gives a new proof of that result). Applications to additive group theory, graph theory and polynomial interpolation are pursued in detail.

Keywords

Cite

@article{arxiv.1506.06743,
  title  = {Fattening up Warning's Second Theorem},
  author = {Pete L. Clark},
  journal= {arXiv preprint arXiv:1506.06743},
  year   = {2015}
}

Comments

21 pages

R2 v1 2026-06-22T09:58:08.123Z