V. N. Kuznetsov, V. V. Krivobok, D. S. Stepanenko, “To the problem of the integrity of the Artin's <nobr>$L$</nobr>-functions”, Izv. Saratov Univ. Math. Mech. Inform., 2013, Volume 13, Issue 4(1),Pages <nobr>23

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

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.

UDC: 501.1

DOI: 10.18500/1816-9791-2013-13-4-23-27