11 citations · 12 across the 8 of their papers we have counts for
3 papers · 1 filter
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 …
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…
Class Number and Regulator Computation in Purely Cubic Function Fields of Unit Rank Two
Felix Fontein, Eric Landquist, Renate Scheidler
We describe and give computational results of a procedure to compute the divisor class number and regulator of most purely cubic function fields of unit rank 2. Our implementation…