Sidon sets and bases

Abstract: Let $h \ge 2$ be an integer. We say a set $A$ of nonnegative integers is an asymptotic basis of order $h$ if every large enough positive integer can be written as a sum of $h$ terms from $A$. The set of positive integers $A$ is called an $h$-Sidon set if the number of representations of any positive integer as the sum of $h$ terms from $A$ is bounded by $1$. In this talk I will speak about the existence of $h$-Sidon sets which are asymptotic bases of order $2h+1$. This is a joint work with Csaba Sándor.

number theory

Audience: researchers in the topic

Combinatorial and additive number theory (CANT 2021)

Series comments: This is the nineteenth in a series of annual workshops sponsored by the New York Number Theory Seminar on problems in combinatorial and additive number theory and related parts of mathematics.

Registration for the conference is free. Register at cant2021.eventbrite.com.

The conference website is www.theoryofnumbers.com/cant/ Lectures will be broadcast on Zoom. The Zoom login will be emailed daily to everyone who has registered on eventbrite. To join the meeting, you may need to download the free software from www.zoom.us.

The conference program, list of speakers, and abstracts are posted on the external website.