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Solution-free sets for linear equations.

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Publication:1403933
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DOI10.1016/S0022-314X(03)00064-7zbMath1035.11003MaRDI QIDQ1403933

Tomasz Schoen, Tomasz Łuczak

Publication date: 20 August 2003

Published in: Journal of Number Theory (Search for Journal in Brave)


zbMATH Keywords

sum-free setsarithmetic progressionAbelian groupcritical densities


Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Density, gaps, topology (11B05) Linear Diophantine equations (11D04)


Related Items (1)

Andrásfai and Vega graphs in Ramsey–Turán theory




Cites Work

  • On small sumsets in an abelian group
  • On infinite sum-free sets of natural numbers
  • On the structure of a random sum-free set
  • Ein Satz über abelsche Gruppen mit Anwendungen auf die Geometrie der Zahlen
  • Dichteschranken für die Lösbarkeit gewisser linearer Gleichungen.
  • On sets of natural numbers without solution to a noninvariant linear equation
  • Maximal Sum-Free Sets in Elementary Abelian p-Groups




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