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Matematicheskie Zametki, 2010, Volume 88, Issue 4, Pages 517–528
DOI: https://doi.org/10.4213/mzm8850 (Mi mzm8850) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On a Problem of Karatsuba

S. A. Gritsenko

Belgorod State University
Full-text PDF (453 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm8850
Abstract: We obtain lower bounds for the fractional moments of linear combinations of analogs of the Hardy function. In addition, we apply these estimates to the Karatsuba problem of finding a lower bound for the number of zeros of the linear combination of analogs of Hardy functions on the interval $(0,T]$.
Keywords: Hardy function, Dirichlet character, Euler function, fractional moments of the Hardy function, Stirling's formula, Cauchy's theorem, Dirichlet $L$-function.
Received: 04.01.2010
Revised: 19.03.2010
English version:
Mathematical Notes, 2010, Volume 88, Issue 4, Pages 492–502
DOI: https://doi.org/10.1134/S000143461009021X
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: S. A. Gritsenko, “On a Problem of Karatsuba”, Mat. Zametki, 88:4 (2010), 517–528; Math. Notes, 88:4 (2010), 492–502
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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