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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 296, Pages 72–94
DOI: https://doi.org/10.1134/S037196851701006X (Mi tm3766) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the zeros of the Davenport–Heilbronn function

S. A. Gritsenkoab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Bauman Moscow State Technical University
Full-text PDF (270 kB) Citations (5)
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DOI: https://doi.org/10.1134/S037196851701006X
Abstract: Let $N_0(T)$ be the number of zeros of the Davenport–Heilbronn function in the interval $[1/2,1/2+iT]$. It is proved that $N_0(T)\gg T(\ln T)^{1/2+1/16-\varepsilon }$, where $\varepsilon $ is an arbitrarily small positive number.
Received: May 15, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 296, Pages 65–87
DOI: https://doi.org/10.1134/S0081543817010060
Bibliographic databases:
Document Type: Article
UDC: 511.331
Language: Russian
Citation: S. A. Gritsenko, “On the zeros of the Davenport–Heilbronn function”, Analytic and combinatorial number theory, Collected papers. On the occasion of the 125th anniversary of the birth of Academician Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklova, 296, MAIK Nauka/Interperiodica, Moscow, 2017, 72–94; Proc. Steklov Inst. Math., 296 (2017), 65–87
Citation in format AMSBIB
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\pages 72--94
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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