Premium
A Lower Bound for Heilbronn'S Problem
Author(s) -
Komlós János,
Pintz János,
Szemerédi Endre
Publication year - 1982
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-25.1.13
Subject(s) - conjecture , combinatorics , unit (ring theory) , mathematics , upper and lower bounds , mathematical analysis , mathematics education
We disprove Heilbronn's conjecture—that N points lying in the unit disc necessarily contain a triangle of area less than c/N 2 .