On the determination of number fields by L-functions
Florin Nicolae1, 2
1 Technische Universität Berlin Institut für Mathematik Strasse des 17. Juni 136 D-10623 Berlin, Germany
2 and Institute of Mathematics of the Romanian Academy P.O.BOX 1-764 RO-014700 Bucharest, Romania
Journal de Théorie des Nombres de Bordeaux, Volume 28 (2016) no. 2, pp. 431-433.

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.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/jtnb.947
Classification: 11R42
Keywords: Galois number field, Artin L-function
Florin Nicolae 1, 2

1 Technische Universität Berlin Institut für Mathematik Strasse des 17. Juni 136 D-10623 Berlin, Germany
2 and Institute of Mathematics of the Romanian Academy P.O.BOX 1-764 RO-014700 Bucharest, Romania 
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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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