7 citations · 10 across the 8 of their papers we have counts for
4 papers · 2 filters
Practical improvements to class group and regulator computation of real quadratic fields
Jean-François Biasse, Jacobson John Michael
We present improvements to the index-calculus algorithm for the computation of the ideal class group and regulator of a real quadratic field. Our improvements consist of applying t…
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…
Rigorous Computation of Fundamental Units in Algebraic Number Fields
Felix Fontein, Michael J. Jacobson
We present an algorithm that unconditionally computes a representation of the unit group of a number field of discriminant , given a full-rank subgroup as input, in asymptotic…