English

On The Local Sum Conjecture in Two Dimensions

Classical Analysis and ODEs 2019-10-08 v1 Number Theory

Abstract

In this paper we give an elementary proof of the local sum conjecture in two dimensions. In a remarkable paper [CMN, arXiv:1810.11340], this conjecture has been established in all dimensions using sophisticated, powerful techniques from a research area blending algebraic geometry with ideas from logic. The purpose of this paper is to give an elementary proof of this conjecture which will be accessbile to a broad readership.

Keywords

Cite

@article{arxiv.1910.02862,
  title  = {On The Local Sum Conjecture in Two Dimensions},
  author = {Robert Fraser and James Wright},
  journal= {arXiv preprint arXiv:1910.02862},
  year   = {2019}
}

Comments

32 Pages

R2 v1 2026-06-23T11:36:33.067Z