Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Vopr. Kriptogr.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (235 kB) Citations (1)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/mvk178
  • https://doi.org/10.4213/mvk178
  • https://www.mathnet.ru/eng/mvk/v7/i1/p119
    Cycle of papers
    This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические вопросы криптографии
    Statistics & downloads:
    Abstract page:298
    Full-text PDF :205
    References:43
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024