Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2016, Volume 7, Issue 1, Pages 119–142
DOI: https://doi.org/10.4213/mvk178 (Mi mvk178) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Estimates of the number of integers with the special prime factorization

A. S. Rybakov

TVP Laboratories, LLC, Moscow
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DOI: https://doi.org/10.4213/mvk178
Abstract: We obtain several integral formulas for some generalizations of the known Dickman function allowing to estimate the number of integers in a long interval with prime factorizations satisfying specific conditions. These formulas generalize known formulas due to R. Lambert, V. H. Ekkelkamp and the author and use the integration of reduced multiplicity.
Key words: Dickman function, integer factorization, estimates for the number of the sieving equations.
Funding agency Grant number
Академия криптографии РФ
Received 20.IV.2015
Bibliographic databases:
Document Type: Article
UDC: 511.333
Language: Russian
Citation: A. S. Rybakov, “Estimates of the number of integers with the special prime factorization”, Mat. Vopr. Kriptogr., 7:1 (2016), 119–142
Citation in format AMSBIB
\Bibitem{Ryb16}
\by A.~S.~Rybakov
\paper Estimates of the number of integers with the special prime factorization
\jour Mat. Vopr. Kriptogr.
\yr 2016
\vol 7
\issue 1
\pages 119--142
\mathnet{http://mi.mathnet.ru/mvk178}
\crossref{https://doi.org/10.4213/mvk178}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3562049}
\elib{https://elibrary.ru/item.asp?id=26475103}
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  • https://doi.org/10.4213/mvk178
  • https://www.mathnet.ru/eng/mvk/v7/i1/p119
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    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические вопросы криптографии
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    References:41
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