A Short Proof of a Conjecture of Erdos Proved by Moreira, Richter and Robertson

被引：6
|
作者：
Host, Bernard [1 ]
机构：
[1] Univ Paris Est Marne la Vallee, LAMA, Champs Sur Marne, France
来源：
DISCRETE ANALYSIS | 2019年
关键词：
Sumset; Erdos Conjecture; Positive density; Folner sequence;
D O I：
10.19086/da.11129
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a short proof of a sumset conjecture of Erdos, recently proved by Moreira, Richter and Robertson: every subset of the integers of positive density contains the sum of two infinite sets. The proof is written in the framework of classical ergodic theory.
引用
收藏
页数：10
相关论文
共 50 条
  • [41] A short proof of the Approximation Conjecture for amenable groups
    Pape, Daniel
    JOURNAL OF FUNCTIONAL ANALYSIS, 2008, 255 (05) : 1102 - 1106
  • [42] A PROOF OF ANDREWS' CONJECTURE ON PARTITIONS WITH NO SHORT SEQUENCES
    Kane, Daniel M.
    Rhoades, Robert C.
    FORUM OF MATHEMATICS SIGMA, 2019, 7
  • [43] A Short Proof of Moll's Minimal Conjecture
    Lv, Lun
    ELECTRONIC JOURNAL OF COMBINATORICS, 2017, 24 (04):
  • [44] A Short Proof of Kahn-Kalai Conjecture
    Tran, Phuc
    Vu, Van
    ELECTRONIC JOURNAL OF COMBINATORICS, 2024, 31 (03):
  • [45] A new short proof of Kneser's conjecture
    Greene, JE
    AMERICAN MATHEMATICAL MONTHLY, 2002, 109 (10): : 918 - 920
  • [46] A theorem about vectors in R2 and an algebraic proof of a conjecture of Erdos and Purdy
    Pinchasi, R. O. M.
    AUSTRALASIAN JOURNAL OF COMBINATORICS, 2021, 81 : 170 - 186
  • [47] A short constructive proof of the Erdos-Gallai characterization of graphic lists
    Tripathi, Amitabha
    Venugopalan, Sushmita
    West, Douglas B.
    DISCRETE MATHEMATICS, 2010, 310 (04) : 843 - 844
  • [48] A short proof of Zhou, Wong and Sun's conjecture
    Sun, Wanting
    Li, Shuchao
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 589 : 80 - 84
  • [49] A short proof of Haemers' conjecture on the Seidel energy of graphs
    Einollahzadeh, M.
    Nematollahi, M. A.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2024, 695 : 75 - 78
  • [50] A short proof of Erdős’ conjecture for triple systems
    P. Frankl
    V. Rödl
    A. Ruciński
    Acta Mathematica Hungarica, 2017, 151 : 495 - 509
12345