Michael J. Jacobson

most citedRigorous Computation of Fundamental Units in Algebraic Number Fields

1 citations · 1 across the 3 of their papers we have counts for

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math.NT2024

Solving norm equations in global function fields

Sumin Leem, Michael Jacobson, Renate Scheidler

We present two new algorithms for solving norm equations over global function fields with at least one infinite place of degree 1 and no wild ramification. The first of these is a…

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 $F_{q} (t)$ whose discriminant $D$ has either odd degree or even degree and the leading coefficient of $- 3 D$ …

math.NT2010★ 1 cited

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 $Δ_{K}$ , given a full-rank subgroup as input, in asymptotic…