Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Stepanenko D. S. On verification of Brauer's theorem concerning Artin's L-functions of number fields. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2012, vol. 12, iss. 4, pp. 31-34. DOI: 10.18500/1816-9791-2012-12-4-31-34

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
15.11.2012
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Russian
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UDC: 
501.1

On verification of Brauer's theorem concerning Artin's L-functions of number fields

Autors: 
Stepanenko Dmitrii Sergeevich, Saratov State University
Abstract: 

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. 

References: 
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  3. Brauer R. On Artin’s L-series with general group characters // Ann. of Math. 1947. Vol. 48. P. 502–514.
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