3 papers
math.NT2011
Simple cubic function fields and class number computations
Pieter Rozenhart, Jonathan Webster
In this paper, we study simple cubic fields in the function field setting, and also generalize the notion of a set of exceptional units to cubic function fields, namely the notion…
math.NT2010
Tabulation of cubic function fields via polynomial binary cubic forms
Pieter Rozenhart, Michael Jacobson, Renate Scheidler
We present a method for tabulating all cubic function fields over whose discriminant has either odd degree or even degree and the leading coefficient of …
math.NT2010
Computing quadratic function fields with high 3-rank via cubic field tabulation
Pieter Rozenhart, Michael Jacobson, Renate Scheidler
This paper presents an algorithm for generating all imaginary and unusual discriminants up to a fixed degree bound that define a quadratic function field of positive 3-rank. Our me…