SIDON SETS IN A UNION OF INTERVALS

被引：0
|
作者：
Riblet, R. [1 ]
机构：
[1] Univ Lorraine, Nancy, France
来源：
ACTA MATHEMATICA HUNGARICA | 2022年 / 167卷 / 02期
关键词：
Sidon set; sequence; interval; arithmetic combinatorics;
D O I：
10.1007/s10474-022-01246-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the maximum size of Sidon sets in unions of integer intervals. If A subset of N is the union of two intervals and if vertical bar A vertical bar = n (where vertical bar A vertical bar denotes the cardinality of A), we prove that A contains a Sidon set of size at least 0,876 root n. On the other hand, by using the small differences technique, we establish a bound of the maximum size of Sidon sets in the union of k intervals.
引用
收藏
页码：533 / 547
页数：15
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