On the size of finite Sidon sets

• Datum: 2024
• 1. Verfasser: O'Bryant, Kevin
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2024
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/7858
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 519.1 A Sidon set (also called a Golomb ruler) is a $B_2$ sequence and a $1$-thin set is a set of integers containing no nontrivial solutions to the equation $a+b=c+d.$ We improve the lower bound for the diameter of a Sidon set with $k$ elements, namely, if $k$ is sufficiently large and $\mathca...