Stickelberger’s congruences for absolute norms of relative discriminants
Georges Gras[1]
- [1] Villa la Gardette chemin Château Gagnière F-38520 Le Bourg d’Oisans
Journal de Théorie des Nombres de Bordeaux (2010)
- Volume: 22, Issue: 2, page 397-402
- ISSN: 1246-7405
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topGras, Georges. "Stickelberger’s congruences for absolute norms of relative discriminants." Journal de Théorie des Nombres de Bordeaux 22.2 (2010): 397-402. <http://eudml.org/doc/116411>.
@article{Gras2010,
abstract = {We give an improvement of a result of J. Martinet on Stickelberger$\{\}^\{\prime\}$s congruences for the absolute norms of relative discriminants of number fields, by using classical arguments of class field theory.},
affiliation = {Villa la Gardette chemin Château Gagnière F-38520 Le Bourg d’Oisans},
author = {Gras, Georges},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {Number fields; Discriminants; Stickelberger congruences; Class field theory; Kummer theory; number fields; discriminants; class field theory},
language = {eng},
number = {2},
pages = {397-402},
publisher = {Université Bordeaux 1},
title = {Stickelberger’s congruences for absolute norms of relative discriminants},
url = {http://eudml.org/doc/116411},
volume = {22},
year = {2010},
}
TY - JOUR
AU - Gras, Georges
TI - Stickelberger’s congruences for absolute norms of relative discriminants
JO - Journal de Théorie des Nombres de Bordeaux
PY - 2010
PB - Université Bordeaux 1
VL - 22
IS - 2
SP - 397
EP - 402
AB - We give an improvement of a result of J. Martinet on Stickelberger${}^{\prime}$s congruences for the absolute norms of relative discriminants of number fields, by using classical arguments of class field theory.
LA - eng
KW - Number fields; Discriminants; Stickelberger congruences; Class field theory; Kummer theory; number fields; discriminants; class field theory
UR - http://eudml.org/doc/116411
ER -
References
top- G. Gras, Class Field Theory: from theory to practice. SMM, Springer-Verlag, 2003; second corrected printing: 2005. Zbl1019.11032
- J. Martinet, Les discriminants quadratiques et la congruence de Stickelberger. Sém. Théorie des Nombres, Bordeaux 1 (1989), 197–204. Zbl0731.11061
- S. Pisolkar, Absolute norms of -primary units. Jour. de Théorie des Nombres de Bordeaux 21 (2009), 733–740. Zbl1214.11131
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