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
Affiliation

UNSW

Date

Wed, 28/03/2018 - 3:00pm

Venue

RC-3085, The Red Centre, UNSW