We find new generalizations of Dirichlet's theorem to real quadratic fields and quartic fields with two complex places, which are closely related to geometry of products of hyperbolic spaces.
Publié le : 2007-01-14
Classification:
Diophantine approximation,
Dirichlet's theorem,
real quadratic field,
products of hyperbolic spaces,
11J25,
53C22
@article{1180135509,
author = {HATTORI, Toshiaki},
title = {Some Diophantine approximation inequalities and products of hyperbolic spaces},
journal = {J. Math. Soc. Japan},
volume = {59},
number = {1},
year = {2007},
pages = { 239-264},
language = {en},
url = {http://dml.mathdoc.fr/item/1180135509}
}
HATTORI, Toshiaki. Some Diophantine approximation inequalities and products of hyperbolic spaces. J. Math. Soc. Japan, Tome 59 (2007) no. 1, pp. 239-264. http://gdmltest.u-ga.fr/item/1180135509/