Geodesic
On verification of Brauer's theorem concerning Artin's $L$-functions of number fields
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 4, pp. 31-34 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper investigates problem of analytic continuation of Artin's $L$-functions. One refinement of Brauer's theorem was obtained. It states that in the case of non-main character all possible poles of Artin's $L$-functions should lay on the critical line. 
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     title = {On verification of {Brauer's} theorem concerning {Artin's} $L$-functions of number fields},
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D. S. Stepanenko. On verification of Brauer's theorem concerning Artin's $L$-functions of number fields. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 4, pp. 31-34. http://geodesic.mathdoc.fr/item/ISU_2012_12_4_a5/

[1] Artin E., “Über eine neue Art von $L$-Reihen”, Abh. Math. Sem. Hamburgischen Univ., 3 (1923), 89–108 | DOI | MR | Zbl

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[3] Brauer R., “On Artin's $L$-series with general group characters”, Ann. of Math., 48 (1947), 502–514 | DOI | MR | Zbl

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