Abstract:
We consider the problem of when the first nn iterates of a given rational function over an arbitrary field are multiplicatively independent. This leads to a generalisation of a method of Gao (1999) for constructing elements of high order in finite fields.
Additionally, we present a kind of function field analogue to results of Bombieri, Masser and Zannier (1999), and Dubickas and Sha (2016) on multiplicative dependence of translations of algebraic numbers
Speaker
Marley Young
Research Area
Number Theory Seminar
Affiliation
UNSW
Date
Wed, 28/03/2018 - 3:00pm
Venue
RC-3085, The Red Centre, UNSW