### Abstract:

We will discuss some sequences whose generating functions are infinite products which act reasonably under the Frobenius operator, $x\mapsto x^k$, for some $k$. Such sequences, e.g. the Thue-Morse sequence and Stern’s diatomic sequence, have curious behaviour. In this talk, I will look at these function from two perspectives, the first about asymptotics at ’special’ points, and then about asymptotics 'almost everywhere’.

Speaker

Michael Coons

Research Area

Number Theory Seminar

Affiliation

University of Newcastle

Date

Wed, 04/03/2020 - 2:00pm

Venue

RC-4082, The Red Centre, UNSW