On the heights of totally -adic numbers
Paul Fili[1]
- [1] Department of Mathematics University of Rochester, Rochester, NY 14627
Journal de Théorie des Nombres de Bordeaux (2014)
- Volume: 26, Issue: 1, page 103-109
- ISSN: 1246-7405
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topFili, Paul. "On the heights of totally $p$-adic numbers." Journal de Théorie des Nombres de Bordeaux 26.1 (2014): 103-109. <http://eudml.org/doc/275782>.
@article{Fili2014,
abstract = {Bombieri and Zannier established lower and upper bounds for the limit infimum of the Weil height in fields of totally $p$-adic numbers and generalizations thereof. In this paper, we use potential theoretic techniques to generalize the upper bounds from their paper and, under the assumption of integrality, to improve slightly upon their bounds.},
affiliation = {Department of Mathematics University of Rochester, Rochester, NY 14627},
author = {Fili, Paul},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {Weil height; totally $p$-adic; potential theory; Fekete-Szegő theorem; totally -adic},
language = {eng},
month = {4},
number = {1},
pages = {103-109},
publisher = {Société Arithmétique de Bordeaux},
title = {On the heights of totally $p$-adic numbers},
url = {http://eudml.org/doc/275782},
volume = {26},
year = {2014},
}
TY - JOUR
AU - Fili, Paul
TI - On the heights of totally $p$-adic numbers
JO - Journal de Théorie des Nombres de Bordeaux
DA - 2014/4//
PB - Société Arithmétique de Bordeaux
VL - 26
IS - 1
SP - 103
EP - 109
AB - Bombieri and Zannier established lower and upper bounds for the limit infimum of the Weil height in fields of totally $p$-adic numbers and generalizations thereof. In this paper, we use potential theoretic techniques to generalize the upper bounds from their paper and, under the assumption of integrality, to improve slightly upon their bounds.
LA - eng
KW - Weil height; totally $p$-adic; potential theory; Fekete-Szegő theorem; totally -adic
UR - http://eudml.org/doc/275782
ER -
References
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