M. Kosters

activity

20112017

most citedThe subset sum problem for finite abelian groups

15 citations · 51 across the 15 of their papers we have counts for

collaborators

Showing 2014 · math.NTShow all

5 papers · 2 filters

math.NT2014★ 7 cited

Polynomial maps on vector spaces over a finite field

Michiel Kosters

Let $l$ be a finite field of cardinality $q$ and let $n$ be in $Z_{\geq 1}$ . Let $f_{1}, \dots, f_{n} \in l [x_{1}, \dots, x_{n}]$ not all constant and consider the evaluation map $f…

math.NT2014★ 5 cited

Presentations for quaternionic $S$ -unit groups

Ted Chinburg, Holley Friedlander, Sean Howe +5

The purpose of this paper is to give presentations for projective $S$ -unit groups of the Hurwitz order in Hamilton's quaternions over the rational field $Q$ . To our knowle…

math.NT2014

Images of polynomial maps on large fields

Michiel Kosters

A field $k$ is called large if every irreducible $k$ -curve with a $k$ -rational smooth point has infinitely many $k$ -points. Let $k$ be a perfect large field and let $f \in k [x]$ . C…

math.NT2014★ 4 cited

A short proof of a Chebotarev density theorem for function fields

Michiel Kosters

In this article we discuss a version of the Chebotarev density for function fields over perfect fields with procyclic absolute Galois groups. Our version of this density theorem di…

math.NT2014

Deterministically generating Picard groups of hyperelliptic curves over finite fields

Michiel Kosters

Let $ε > 0$ . In this article we will present a deterministic algorithm which does the following. The input is a hyperelliptic curve $C$ of genus $g$ over a finite field $k$ of cardin…

Polynomial maps on vector spaces over a finite field

Presentations for quaternionic S-unit groups

Images of polynomial maps on large fields

A short proof of a Chebotarev density theorem for function fields

Deterministically generating Picard groups of hyperelliptic curves over finite fields

Presentations for quaternionic $S$ -unit groups