English

A low-energy decomposition theorem

Number Theory 2024-07-01 v1 Combinatorics

Abstract

We prove that any finite set of real numbers can be split into two parts, one part being highly non-additive and the other highly non-multiplicative.

Keywords

Cite

@article{arxiv.1510.03309,
  title  = {A low-energy decomposition theorem},
  author = {Antal Balog and Trevor D. Wooley},
  journal= {arXiv preprint arXiv:1510.03309},
  year   = {2024}
}

Comments

16 pages

R2 v1 2026-06-22T11:18:12.176Z