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This article is cited in 21 scientific papers (total in 23 papers)
On the zeros of some Dirichlet series lying on the critical line
S. M. Voronin
Abstract:
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.
Received: 05.06.1979
Citation:
S. M. Voronin, “On the zeros of some Dirichlet series lying on the critical line”, Izv. Akad. Nauk SSSR Ser. Mat., 44:1 (1980), 63–91; Math. USSR-Izv., 16:1 (1981), 55–82
Linking options:
https://www.mathnet.ru/eng/im1632https://doi.org/10.1070/IM1981v016n01ABEH001296 https://www.mathnet.ru/eng/im/v44/i1/p63
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Abstract page: | 424 | Russian version PDF: | 238 | English version PDF: | 25 | References: | 51 | First page: | 1 |
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