Michael Coons
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
Research Area
Number Theory Seminar
Affiliation
University of Newcastle
Date
Wed, 04/03/2020 - 2:00pm
Venue
RC-4082, The Red Centre, UNSW