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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Language:
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.
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References:
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