Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 2003, Volume 67, Issue 4, Pages 837–848
DOI: https://doi.org/10.1070/IM2003v067n04ABEH000447 (Mi im447) 		 
This article is cited in 9 scientific papers (total in 10 papers)

Numbers whose prime divisors lie in special intervals

M. E. Changa

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (157 kB) Citations (10)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2003v067n04ABEH000447
Abstract: We study the distribution of numbers whose prime divisors lie in special intervals. Various multiplicative functions are summed over these numbers. For these summatory functions we obtain asymptotic formulae whose principal term is a sum of an increasing number of summands. We show that this sum can be approximated, up to the first rejected term, by a finite number of its summands. We also discuss relations on the parameters of the problem under which the principal term of such asymptotic formulae becomes a finite sum.
Received: 18.02.2003
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2003, Volume 67, Issue 4, Pages 213–224
DOI: https://doi.org/10.4213/im447
Bibliographic databases:
UDC: 511
MSC: 11N05, 11N37, 11K65
Language: English
Original paper language: Russian
Citation: M. E. Changa, “Numbers whose prime divisors lie in special intervals”, Izv. RAN. Ser. Mat., 67:4 (2003), 213–224; Izv. Math., 67:4 (2003), 837–848
Citation in format AMSBIB
\Bibitem{Cha03}
\by M.~E.~Changa
\paper Numbers whose prime divisors lie in special intervals
\jour Izv. RAN. Ser. Mat.
\yr 2003
\vol 67
\issue 4
\pages 213--224
\mathnet{http://mi.mathnet.ru/im447}
\crossref{https://doi.org/10.4213/im447}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2001769}
\zmath{https://zbmath.org/?q=an:1066.11041}
\transl
\jour Izv. Math.
\yr 2003
\vol 67
\issue 4
\pages 837--848
\crossref{https://doi.org/10.1070/IM2003v067n04ABEH000447}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000186267800007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33645403740}
Linking options:
  • https://www.mathnet.ru/eng/im447
  • https://doi.org/10.1070/IM2003v067n04ABEH000447
  • https://www.mathnet.ru/eng/im/v67/i4/p213
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:552
    Russian version PDF:321
    English version PDF:13
    References:47
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024