Artículos de revistas
Trace form associated to cyclic number fields of ramified odd prime degree
Fecha
2019-01-01Registro en:
Journal of Algebra and its Applications.
0219-4988
10.1142/S0219498820500802
2-s2.0-85065146313
Autor
Universidade Estadual de Campinas (UNICAMP)
Federal University of Grande Dourados (UFGD)
Universidade Estadual Paulista (Unesp)
Institución
Resumen
In this work, we computate the trace form Tr k/Q (x2) associated to a cyclic number field of odd prime degree p, where p ramified in and x belongs to the ring of integers of . Furthermore, we use this trace form to calculate the expression of the center density of algebraic lattices constructed via the Minkowski embedding from some ideals in the ring of integers of .