On the thickness of infinite generalized Sidon sets

Abstract: Let $A$ be an infinite ``generalized" Sidon set. We consider the possible values of $\liminf_{n} A(n)/\sqrt{n/\log n}$. Erdos proved that this is finite for Sidon sets, and Chen for $B_{2h}$-sets. We are concerned with actually bounding the limit for $B_{2h}$-sets and $g$-Golomb rulers. We will review what is known for $B_h$-sets (odd $h$) also.

commutative algebracombinatoricsnumber theory

Audience: researchers in the topic

New York Number Theory Seminar

Series comments: Meeting ID: 840 6618 4717 Passcode: 304403