Counting subsets avoiding certain multiplicative configurations

Abstract: We will discuss results about enumerating subsets of $\{1,2,\dots,n\}$ avoiding certain multiplicative configurations. Namely, we will count primitive sets, $h$-primitive sets (where none of the elements divide the product of $h$ other elements) and multiplicative Sidon sets. Most of these problems were raised by Cameron and Erdős.

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.