English

Linear equations and multiplicative polynomial equations in infinitely many variables

Functional Analysis 2025-03-03 v2 Classical Analysis and ODEs

Abstract

This paper describes infinite sets of polynomial equations in infinitely many variables with the property that the existence of a solution or even an approximate solution for every finite subset of the equations implies the existence of a solution for the infinite set of equations.

Keywords

Cite

@article{arxiv.2405.01766,
  title  = {Linear equations and multiplicative polynomial equations in infinitely many variables},
  author = {Melvyn B. Nathanson and David A. Ross},
  journal= {arXiv preprint arXiv:2405.01766},
  year   = {2025}
}

Comments

17 pages

R2 v1 2026-06-28T16:14:57.276Z