Showing math.NTShow all
3 papers · 1 filter
math.NT2023
Unit Reducible Cyclotomic Fields
Christian Porter, Piero Sarti, Cong Ling +1
In this paper, we continue the study of unit reducible fields as introduced in \cite{LPL23} for the special case of cyclotomic fields. Specifically, we deduce that the cyclotomic f…
math.NT2023
On Pisot Units and the Fundamental Domain of Galois Extensions of
Christian Porter, Alexandre Bali, Alar Leibak
In this paper, we present two main results. Let be a number field that is Galois over with degree , where is the number of real embeddings and is the…
math.NT2022
Unit Reducible Fields and Perfect Unary Forms
Alar Leibak, Christian Porter, Cong Ling
In this paper, we introduce the notion of unit reducibility for number fields, that is, number fields in which all positive unary forms attain their nonzero minimum at a unit. Furt…