Geodesic
On the zeros of some Dirichlet series lying on the critical line
Izvestiya. Mathematics, Tome 16 (1981) no. 1, pp. 55-82 
S. M. Voronin. On the zeros of some Dirichlet series lying on the critical line. Izvestiya. Mathematics, Tome 16 (1981) no. 1, pp. 55-82. http://geodesic.mathdoc.fr/item/IM2_1981_16_1_a3/
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     title = {On the zeros of some {Dirichlet} series lying on the critical line},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A linear combination of Dirichlet $L$-functions which are known not to have an Euler product is considered. It is proved that the interval $$ \biggl[\frac12-iT,\frac12+iT\biggr] $$ contains for an arbitrary constant $c>0$ more than $cT$ zeros for $T\to\infty$. Bibliography: 9 titles.

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[4] Siegel C. L., “Contributions to the theory of the Dirichlet $L$-series and the Epstein zeta-functions”, Ann. Mathematics, 44:2 (1943), 123–151 | MR

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[6] Landau E., Handbuch der Lehre von der Verteilung Primzahlen. I, Leipzig, 1909

[7] Chulanovskii I. V., “Nekotorye otsenki, svyazannye s novym metodom Selberg'a v elementarnoi teorii chisel”, Dokl. AN SSSR, 63 (1948), 491–494

[8] Montgomeri G., Multiplikativnaya teoriya chisel, Mir, M., 1974 | MR

[9] Kassels Dzh. V. S., Vvedenie v teoriyu diofantovykh priblizhenii, Mir, M., 1961