Absolute norms of $p$-primary units

Pisolkar, Supriya. "Absolute norms of $p$-primary units." Journal de Théorie des Nombres de Bordeaux 21.3 (2009): 735-742. <http://eudml.org/doc/10909>.

@article{Pisolkar2009,
abstract = {We prove a local analogue of a theorem of J. Martinet about the absolute norm of the relative discriminant ideal of an extension of number fields. The result can be seen as a statement about $2$-primary units. We also prove a similar statement about the absolute norms of $p$-primary units, for all primes $p$.},
affiliation = {Harish-Chandra Research Institute Chhatnag Road, Jhunsi Allahabad -211019, India.},
author = {Pisolkar, Supriya},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {p-primary units; Hasse-Herbrand functions},
language = {eng},
number = {3},
pages = {735-742},
publisher = {Université Bordeaux 1},
title = {Absolute norms of $p$-primary units},
url = {http://eudml.org/doc/10909},
volume = {21},
year = {2009},
}

TY - JOUR
AU - Pisolkar, Supriya
TI - Absolute norms of $p$-primary units
JO - Journal de Théorie des Nombres de Bordeaux
PY - 2009
PB - Université Bordeaux 1
VL - 21
IS - 3
SP - 735
EP - 742
AB - We prove a local analogue of a theorem of J. Martinet about the absolute norm of the relative discriminant ideal of an extension of number fields. The result can be seen as a statement about $2$-primary units. We also prove a similar statement about the absolute norms of $p$-primary units, for all primes $p$.
LA - eng
KW - p-primary units; Hasse-Herbrand functions
UR - http://eudml.org/doc/10909
ER -