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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2012, Volume 12, Issue 4, Pages 31–34
DOI: https://doi.org/10.18500/1816-9791-2012-12-4-31-34 (Mi isu329) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

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

D. S. Stepanenko

Saratov State University
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DOI: https://doi.org/10.18500/1816-9791-2012-12-4-31-34
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.
Key words: Artin's $L$-function, Brauer's theorem.
Bibliographic databases:
Document Type: Article
UDC: 501.1
Language: Russian
Citation: D. S. Stepanenko, “On verification of Brauer's theorem concerning Artin's $L$-functions of number fields”, Izv. Saratov Univ. Math. Mech. Inform., 12:4 (2012), 31–34
Citation in format AMSBIB
\Bibitem{Ste12}
\by D.~S.~Stepanenko
\paper On verification of Brauer's theorem concerning Artin's $L$-functions of number fields
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2012
\vol 12
\issue 4
\pages 31--34
\mathnet{http://mi.mathnet.ru/isu329}
\crossref{https://doi.org/10.18500/1816-9791-2012-12-4-31-34}
\elib{https://elibrary.ru/item.asp?id=22271149}
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    • This publication is cited in the following 1 articles:
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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    References:44
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