Michael Coons

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’.
Michael Coons
Number Theory Seminar
University of Newcastle
Wed, 04/03/2020 - 2:00pm
RC-4082, The Red Centre, UNSW