Derek Garton

most citedPreperiodic points of polynomial dynamical systems over finite fields

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.DS2024★ 1 cited

Preperiodic points of polynomial dynamical systems over finite fields

Aaron Andersen, Derek Garton

For a prime $p$ , positive integers $r, n$ , and a polynomial $f$ with coefficients in $F_{p^{r}}$ , let $W_{p,r,n}(f)=f^n\left(\mathbb{F}_{p^r}\right)\setminus f^{n+1}\left(\ma…

math.NT2024

The distribution of $a$ -numbers of hyperelliptic curves in characteristic three

Derek Garton, Jeffrey Lin Thunder, Colin Weir

In this paper we present a new approach to counting the proportion of hyperelliptic curves of genus $g$ defined over a finite field $F_{q}$ with a given $a$ -number. In chara…

Preperiodic points of polynomial dynamical systems over finite fields

The distribution of a-numbers of hyperelliptic curves in characteristic three

The distribution of $a$ -numbers of hyperelliptic curves in characteristic three