Differences between perfect powers

Abstract: In this talk, I will survey a variety of arithmetic problems related to the sequence of differences between perfect powers, highlighting what is known, what is expected to be true, and what is (possibly) within range of current technology. I shall discuss some recent joint work with Samir Siksek on a number of related classical polynomial-exponential equations.

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.