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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 4(1), Pages 23–27
DOI: https://doi.org/10.18500/1816-9791-2013-13-4-23-27 (Mi isu446) 		 
Mathematics

To the problem of the integrity of the Artin's $L$-functions

V. N. Kuznetsov, V. V. Krivobok, D. S. Stepanenko

Saratov State University, Russia, 410012, Saratov, Astrahanskaya st., 83
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DOI: https://doi.org/10.18500/1816-9791-2013-13-4-23-27
Abstract: In this paper was described a class of Artin's $L$-functions, each of which is meromorphic, their poles lays on the critical line $\operatorname{Re}s=1/2$ and coincides with zeroes of Dedekind's $Z$-functions of some fields.
Key words: Artin's $L$-function, Brauer's theorem.
Bibliographic databases:
Document Type: Article
UDC: 501.1
Language: Russian
Citation: V. N. Kuznetsov, V. V. Krivobok, D. S. Stepanenko, “To the problem of the integrity of the Artin's $L$-functions”, Izv. Saratov Univ. Math. Mech. Inform., 13:4(1) (2013), 23–27
Citation in format AMSBIB
\Bibitem{KuzKriSte13}
\by V.~N.~Kuznetsov, V.~V.~Krivobok, D.~S.~Stepanenko
\paper To the problem of the integrity of the Artin's $L$-functions
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 4(1)
\pages 23--27
\mathnet{http://mi.mathnet.ru/isu446}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-4-23-27}
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