For citation:
Kuznetsov V. N., Krivobok V. V., Stepanenko D. S. To the Problem of the Integrity of the Artin’s L-functions. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 4, pp. 23-27. DOI: 10.18500/1816-9791-2013-13-4-23-27
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Published online:
15.12.2013
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Russian
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UDC:
501.1
To the Problem of the Integrity of the Artin’s L-functions
Autors:
Kuznetsov Valentin Nikolaevich, Saratov State University
Krivobok Valery Victorovich, Saratov State University
Stepanenko Dmitrii Sergeevich, Saratov State University
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 Re s = 1/2 and coincides with zeroes of Dedekind’s Z-functions of some fields.
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References:
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- Stepanenko D. S. On verification of Brauer’s Theorem concerning Artin’s L-functions of Number Fields. Izv.Sarat. Univ. N. S. Ser. Math. Mech. Inform., 2012,vol. 12, iss. 4, pp. 31–34 (in Russian).
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- Leng S. Algebra. Moscow, Mir, 1968 (in Russian).
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