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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
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.
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
Linking options:
https://www.mathnet.ru/eng/isu329 https://www.mathnet.ru/eng/isu/v12/i4/p31
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Abstract page: | 189 | Full-text PDF : | 73 | References: | 52 | First page: | 1 |
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