On the computation of Hermite-Humbert constants for real quadratic number fields
Michael E. Pohst[1]; Marcus Wagner[1]
- [1] Technische Universität Berlin Fakultät II Institut für Mathematik MA 8-1 Str. d. 17. Juni 136 D-10623 Berlin, Germany
Journal de Théorie des Nombres de Bordeaux (2005)
- Volume: 17, Issue: 3, page 905-920
- ISSN: 1246-7405
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topPohst, Michael E., and Wagner, Marcus. "On the computation of Hermite-Humbert constants for real quadratic number fields." Journal de Théorie des Nombres de Bordeaux 17.3 (2005): 905-920. <http://eudml.org/doc/249433>.
@article{Pohst2005,
abstract = {We present algorithms for the computation of extreme binary Humbert forms in real quadratic number fields. With these algorithms we are able to compute extreme Humbert forms for the number fields $\mathbb\{Q\}(\sqrt\{13\})$ and $\mathbb\{Q\}(\sqrt\{17\})$. Finally we compute the Hermite-Humbert constant for the number field $\mathbb\{Q\}(\sqrt\{13\})$.},
affiliation = {Technische Universität Berlin Fakultät II Institut für Mathematik MA 8-1 Str. d. 17. Juni 136 D-10623 Berlin, Germany; Technische Universität Berlin Fakultät II Institut für Mathematik MA 8-1 Str. d. 17. Juni 136 D-10623 Berlin, Germany},
author = {Pohst, Michael E., Wagner, Marcus},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {Algebraic number theory computations; quadratic extensions},
language = {eng},
number = {3},
pages = {905-920},
publisher = {Université Bordeaux 1},
title = {On the computation of Hermite-Humbert constants for real quadratic number fields},
url = {http://eudml.org/doc/249433},
volume = {17},
year = {2005},
}
TY - JOUR
AU - Pohst, Michael E.
AU - Wagner, Marcus
TI - On the computation of Hermite-Humbert constants for real quadratic number fields
JO - Journal de Théorie des Nombres de Bordeaux
PY - 2005
PB - Université Bordeaux 1
VL - 17
IS - 3
SP - 905
EP - 920
AB - We present algorithms for the computation of extreme binary Humbert forms in real quadratic number fields. With these algorithms we are able to compute extreme Humbert forms for the number fields $\mathbb{Q}(\sqrt{13})$ and $\mathbb{Q}(\sqrt{17})$. Finally we compute the Hermite-Humbert constant for the number field $\mathbb{Q}(\sqrt{13})$.
LA - eng
KW - Algebraic number theory computations; quadratic extensions
UR - http://eudml.org/doc/249433
ER -
References
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