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

页码：533 / 547

页数：15

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