DOI

A celebrated theorem due to Bannai-Bannai-Stanton says that if A is a set of points in Rd, which determines s distinct distances, then (equation Presented). In this note, we give a new simple proof of this result by combining Sylvester's Law of Inertia for quadratic forms with the proof of the so-called Croot-Lev-Pach Lemma from additive combinatorics.

Язык оригиналаанглийский
Страницы (с-по)569-571
Число страниц3
ЖурналProceedings of the American Mathematical Society
Том149
Номер выпуска2
DOI
СостояниеОпубликовано - фев 2021

    Предметные области Scopus

  • Математика (все)
  • Прикладная математика

ID: 75247408