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Izvestiya: Mathematics, 2008, Volume 72, Issue 3, Pages 429–478
DOI: https://doi.org/10.1070/IM2008v072n03ABEH002407 (Mi im1916) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On the integral of Hardy's function $Z(t)$

M. A. Korolev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (457 kB) Citations (9) Russian version article
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DOI: https://doi.org/10.1070/IM2008v072n03ABEH002407
Abstract: We prove asymptotic formulae for the values of the integral of Hardy's function $Z(t)$ at special points and obtain an omega-theorem and an upper bound for the integral of $Z(t)$ that are sharp with respect to the rate of growth.
Received: 24.10.2006
Bibliographic databases:
Document Type: Article
UDC: 511
MSC: 11M06, 11M26
Language: English
Original paper language: Russian
Citation: M. A. Korolev, “On the integral of Hardy's function $Z(t)$”, Izv. Math., 72:3 (2008), 429–478
Citation in format AMSBIB
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\by M.~A.~Korolev
\paper On the integral of Hardy's function $Z(t)$
\jour Izv. Math.
\yr 2008
\vol 72
\issue 3
\pages 429--478
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  • https://doi.org/10.1070/IM2008v072n03ABEH002407
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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