Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find






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


Matematicheskie Zametki, 1997, Volume 62, Issue 6, Pages 881–891
DOI: https://doi.org/10.4213/mzm1677
(Mi mzm1677)
 

This article is cited in 17 scientific papers (total in 17 papers)

On two classes of permutations with number-theoretic conditions on the lengths of the cycles

A. I. Pavlov

Steklov Mathematical Institute, Russian Academy of Sciences
References:
Abstract: Let $\Lambda$ be an arbitrary set of positive integers and $S_n(\Lambda)$ the set of all permutations of degree $n$ for which the lengths of all cycles belong to the set $\Lambda$. In the paper the asymptotics of the ratio $|S_n(\Lambda)|/n!$ as $n\to\infty$ is studied in the following cases: 1) $\Lambda$ is the union of finitely many arithmetic progressions, 2) $\Lambda$ consists of all positive integers that are not divisible by any number from a given finite set of pairwise coprime positive integers. Here $|S_n(\Lambda)|$ stands for the number of elements in the finite set $S_n(\Lambda)$.
Received: 12.02.1996
English version:
Mathematical Notes, 1997, Volume 62, Issue 6, Pages 739–746
DOI: https://doi.org/10.1007/BF02355462
Bibliographic databases:
UDC: 511.33+519.115
Language: Russian
Citation: A. I. Pavlov, “On two classes of permutations with number-theoretic conditions on the lengths of the cycles”, Mat. Zametki, 62:6 (1997), 881–891; Math. Notes, 62:6 (1997), 739–746
Citation in format AMSBIB
\Bibitem{Pav97}
\by A.~I.~Pavlov
\paper On two classes of permutations with number-theoretic conditions on the lengths of the cycles
\jour Mat. Zametki
\yr 1997
\vol 62
\issue 6
\pages 881--891
\mathnet{http://mi.mathnet.ru/mzm1677}
\crossref{https://doi.org/10.4213/mzm1677}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1635174}
\zmath{https://zbmath.org/?q=an:0917.05007}
\elib{https://elibrary.ru/item.asp?id=13250241}
\transl
\jour Math. Notes
\yr 1997
\vol 62
\issue 6
\pages 739--746
\crossref{https://doi.org/10.1007/BF02355462}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000075396200028}
Linking options:
  • https://www.mathnet.ru/eng/mzm1677
  • https://doi.org/10.4213/mzm1677
  • https://www.mathnet.ru/eng/mzm/v62/i6/p881
  • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:364
    Full-text PDF :204
    References:44
    First page:2
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024