On sequences not containing a large sum-free subsequence
S. L. G. Choi
Proc. Amer. Math. Soc. 41 (1973), 415-418
Full-text PDF Free Access
Similar Articles |
Abstract: A subsequence of a sequence of integers is said to be sum-free if no integer of the subsequence is the sum of distinct integers of this same subsequence. In this paper we shall prove, provided is sufficiently large, that there exists a sequence of integers whose largest sum-free subsequence has at most integers, where is an absolute constant.
Erdős, Extremal problems in number theory, Proc.
Sympos. Pure Math., Vol. VIII, Amer. Math. Soc., Providence, R.I., 1965,
pp. 181–189. MR 0174539
Varnavides, On certain sets of positive density, J. London
Math. Soc. 34 (1959), 358–360. MR 0106865
- P. Erdös, Extremal problems in number theory, Proc. Sympos. Pure Math., vol. 8, Amer. Math. Soc., Providence, R.I., 1965, pp. 181-189. MR 30 #4740. MR 0174539 (30:4740)
- P. Varnavides, On certain sets of positive density, J. London Math. Soc. 34 (1959), 358-360. MR 21 #5595. MR 0106865 (21:5595)
Retrieve articles in Proceedings of the American Mathematical Society
Retrieve articles in all journals
© Copyright 1973 American Mathematical Society