On the maximal density of sum-free sets

• Autorzy: Tomasz Łuczak , Tomasz Schoen
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 95
• Numer: 3
• Strony: 225-229

Daty

wydano

2000

otrzymano

1999-07-06

poprawiono

2000-04-19

Twórcy

autor

Tomasz Łuczak

• Department of Discrete Mathematics, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland

autor

Tomasz Schoen

• Mathematisches Seminar, Universität zu Kiel, Ludewig-Meyn-Str. 4, 24098 Kiel, Germany

Bibliografia

• [1] J.-M. Deshoulliers, P. Erdős and G. Melfi, On a question about sum-free sequences, Discrete Math. 200 (1999), 49-54.
• [2] M. Drmota and R. F. Tichy, Sequences, Discrepancies and Applications, Lecture Notes in Math. 1651, Springer, Berlin, 1997.
• [3] P. Erdős, Remarks on number theory, III, Math. Lapok 13 (1962), 28-38 (in Hungarian).
• [4] J. Folkman, On the representation of integers as sums of distinct terms from a fixed sequence, Canad. J. Math. 18 (1966), 643-655.
• [5] N. Hegyvári, On the representation of integers as sums of distinct terms of a fixed set, Acta Arith. 92 (2000), 99-104.
• [6] A. Sárközy, Finite addition theorems I, J. Number Theory 32 (1989), 114-130.
• [7] A. Sárközy, Finite addition theorems II, ibid. 48 (1994), 197-218.