On the number and structure of sum-free sets in a segment of positive integers
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| 024 | 7 | 0 | |a 10.1515/156939203322733345 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/156939203322733345 | ||
| 245 | 0 | 0 | |a On the number and structure of sum-free sets in a segment of positive integers |h [Elektronische Daten] |c [K. G. Omelyanov, A. A. Sapozhenko] |
| 520 | 3 | |a A set A of integers is called sum-free if a + b ∉ A for any a, b ∈ A. For any real numbers q ≤ p we denote by [q, p] the set of real numbers x such that q ≤ x ≤ p. Let S (t, n) stand for the family of all sum-free subsets A ⊆ [t, n], and s (t, n) = |S (t, n)|. We prove that s (t, n) = O(2 n/2) for t ≥ n 3/4log n, where log t = log2 t. | |
| 540 | |a Copyright 2003, Walter de Gruyter | ||
| 700 | 1 | |a Omelyanov |D K. G. |4 aut | |
| 700 | 1 | |a Sapozhenko |D A. A. |4 aut | |
| 773 | 0 | |t Discrete Mathematics and Applications |d Walter de Gruyter |g 13/6(2003-12-01), 637-643 |x 0924-9265 |q 13:6<637 |1 2003 |2 13 |o dma | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/156939203322733345 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/156939203322733345 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Omelyanov |D K. G. |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Sapozhenko |D A. A. |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Discrete Mathematics and Applications |d Walter de Gruyter |g 13/6(2003-12-01), 637-643 |x 0924-9265 |q 13:6<637 |1 2003 |2 13 |o dma | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||