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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 whose discriminant has either odd degree or even degree and the leading coefficient of …
math.NT2010
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…