Pierre Lezowski - Research

Number theory, geometry of numbers, computational number theory.
In particular, euclideanity of number fields and quaternion fields.

Computation of the Euclidean minimum of algebraic number fields, Mathematics of Computation 83 (2014), 1397–1426.
HAL 00632997.
preprint version

final version doi:10.1090/S0025-5718-2013-02746-9
Examples of norm-Euclidean ideal classes, International Journal of Number Theory 8, 5 (2012), 1315–1333.
preprint version

final version doi:10.1142/S1793042112500777
Euclidean totally definite quaternion fields over the rational field and over quadratic number fields, with Jean-Paul Cerri and Jérôme Chaubert, International Journal of Number Theory, 9, 3 (2013), 653-673.
HAL 00738164.
preprint version

final version doi:10.1142/S1793042112501540
Totally indefinite Euclidean quaternion fields, with Jean-Paul Cerri and Jérôme Chaubert, Acta Arithmetica, 165 (2014), 181-200.
HAL 01016614.
preprint version

final version doi:10.4064/aa165-2-4
On some Euclidean properties of matrix algebras, submitted. HAL 01135202.
preprint version

Questions d'Euclidianité
defended on December 7, 2012, advisor: Jean-Paul Cerri.

Last changed: 2015-03-30, 14h33.