We prove that a Galois number field is determined by any Artin L-function corresponding to a character of the Galois group which contains all irreducible characters.
Nous montrons qu’une extension galoisienne du corps des nombres rationnels est déterminée par toute fonction L d’Artin corespondant à un caractère du groupe de Galois qui contient tous les caractères irréductibles.
Revised:
Accepted:
Published online:
DOI: 10.5802/jtnb.947
Classification: 11R42
Keywords: Galois number field, Artin -function
Author's affiliations:
@article{JTNB_2016__28_2_431_0, author = {Florin Nicolae}, title = {On the determination of number fields by {L-functions}}, journal = {Journal de Th\'eorie des Nombres de Bordeaux}, pages = {431--433}, publisher = {Soci\'et\'e Arithm\'etique de Bordeaux}, volume = {28}, number = {2}, year = {2016}, doi = {10.5802/jtnb.947}, mrnumber = {3509718}, zbl = {1411.11118}, language = {en}, url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.947/} }
TY - JOUR TI - On the determination of number fields by L-functions JO - Journal de Théorie des Nombres de Bordeaux PY - 2016 DA - 2016/// SP - 431 EP - 433 VL - 28 IS - 2 PB - Société Arithmétique de Bordeaux UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.947/ UR - https://www.ams.org/mathscinet-getitem?mr=3509718 UR - https://zbmath.org/?q=an%3A1411.11118 UR - https://doi.org/10.5802/jtnb.947 DO - 10.5802/jtnb.947 LA - en ID - JTNB_2016__28_2_431_0 ER -
Florin Nicolae. On the determination of number fields by L-functions. Journal de Théorie des Nombres de Bordeaux, Volume 28 (2016) no. 2, pp. 431-433. doi : 10.5802/jtnb.947. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.947/
[1] E. Artin, « Über eine neue Art vonL-Reihen », Abh. Math. Sem. Univ. Hamburg 3 (1924), no. 1, p. 89-108. | Article | Zbl: 49.0123.01
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