2 papers
cs.CR2025
An efficient quantum algorithm for computing -units and its applications
Jean-Francois Biasse, Fang Song
In this paper, we provide details on the proofs of the quantum polynomial time algorithm of Biasse and Song (SODA 16) for computing the -unit group of a number field. This algor…
math.NT2025
Norm relations and computational problems in number fields
Jean-François Biasse, Claus Fieker, Tommy Hofmann +1
For a finite group , we introduce a generalization of norm relations in the group algebra . We give necessary and sufficient criteria for the existence of such rel…