Geodesic
On the zeros of some Dirichlet series lying on the critical line
Izvestiya. Mathematics , Tome 16 (1981) no. 1, pp. 55-82

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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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     author = {S. M. Voronin},
     title = {On the zeros of some {Dirichlet} series lying on the critical line},
     journal = {Izvestiya. Mathematics },
     pages = {55--82},
     publisher = {mathdoc},
     volume = {16},
     number = {1},
     year = {1981},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1981_16_1_a3/}
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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/