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Mathematics of the USSR-Izvestiya, 1981, Volume 16, Issue 1, Pages 55–82
DOI: https://doi.org/10.1070/IM1981v016n01ABEH001296 (Mi im1632) 		 
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
English version PDF (752 kB) Citations (23)
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DOI: https://doi.org/10.1070/IM1981v016n01ABEH001296
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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1980, Volume 44, Issue 1, Pages 63–91
Bibliographic databases:
UDC: 511
MSC: Primary 10H10; Secondary 10H08
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
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\paper On the zeros of some Dirichlet series lying on the critical line
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\issue 1
\pages 63--91
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\transl
\jour Math. USSR-Izv.
\yr 1981
\vol 16
\issue 1
\pages 55--82
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  • https://www.mathnet.ru/eng/im/v44/i1/p63
    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:424
    Russian version PDF:238
    English version PDF:25
    References:51
    First page:1
     
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