Zeros of linear combinations of functions of a~special type that are connected with Selberg Dirichlet series
Izvestiya. Mathematics , Tome 60 (1996) no. 4, pp. 655-694

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Assuming that a conjecture of Selberg holds, along with certain other conditions, we obtain a lower bound on an interval of the critical line for the number of zeros of a function that is a linear combination of the analogues of the Riemann zeta-function that correspond to Dirichlet series of the Selberg class.
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     author = {S. A. Gritsenko},
     title = {Zeros of linear combinations of functions of a~special type that are connected with {Selberg} {Dirichlet} series},
     journal = {Izvestiya. Mathematics },
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S. A. Gritsenko. Zeros of linear combinations of functions of a~special type that are connected with Selberg Dirichlet series. Izvestiya. Mathematics , Tome 60 (1996) no. 4, pp. 655-694. http://geodesic.mathdoc.fr/item/IM2_1996_60_4_a0/