# Integer sequences, asymptotics and diffraction

Michael Coons

## Affiliation:

University of Newcastle

## Date:

Tue, 16/07/2019 - 12:00pm to 1:00pm

## Venue:

RC-4082, The Red Centre, UNSW

## Abstract:

For some time now, I have been trying to understand the intricacy and complexity of integer sequences from a variety of different viewpoints and at least at some level trying to reconcile these viewpoints. However vague that sounds—and it certainly is vague to me—in this talk I hope to explain this sentiment a bit. While a variety of results will be considered, I will focus closely on two examples of wider interest, the Thue—Morse sequence and the set of $k$-free integers.