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Izvestiya: Mathematics, 1996, Volume 60, Issue 4, Pages 655–694
DOI: https://doi.org/10.1070/IM1996v060n04ABEH000078 (Mi im78) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Zeros of linear combinations of functions of a special type that are connected with Selberg Dirichlet series

S. A. Gritsenko

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (1065 kB) Citations (6)
References:
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DOI: https://doi.org/10.1070/IM1996v060n04ABEH000078
Abstract: 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.
Received: 22.12.1995
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1996, Volume 60, Issue 4, Pages 3–42
DOI: https://doi.org/10.4213/im78
Bibliographic databases:
MSC: 11M41
Language: English
Original paper language: Russian
Citation: S. A. Gritsenko, “Zeros of linear combinations of functions of a special type that are connected with Selberg Dirichlet series”, Izv. RAN. Ser. Mat., 60:4 (1996), 3–42; Izv. Math., 60:4 (1996), 655–694
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:417
    Russian version PDF:201
    English version PDF:17
    References:42
    First page:1
     
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