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, 2001, Volume 65, Issue 4, Pages 727–748
DOI: https://doi.org/10.1070/IM2001v065n04ABEH000349 (Mi im349) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On fractional parts of rapidly growing functions

A. A. Karatsuba

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (219 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2001v065n04ABEH000349
Abstract: We study the behaviour of fractional parts of functions $\alpha\exp([\log^c x]\log x)$, where $\alpha$ is a real algebraic number of degree $n\geqslant 2$ and $c$ is an arbitrary positive number less than one.
Received: 08.02.2001
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2001, Volume 65, Issue 4, Pages 89–110
DOI: https://doi.org/10.4213/im349
Bibliographic databases:
Document Type: Article
MSC: 11L40, 11L03, 11N37, 11L40, 11L99
Language: English
Original paper language: Russian
Citation: A. A. Karatsuba, “On fractional parts of rapidly growing functions”, Izv. RAN. Ser. Mat., 65:4 (2001), 89–110; Izv. Math., 65:4 (2001), 727–748
Citation in format AMSBIB
\Bibitem{Kar01}
\by A.~A.~Karatsuba
\paper On fractional parts of rapidly growing functions
\jour Izv. RAN. Ser. Mat.
\yr 2001
\vol 65
\issue 4
\pages 89--110
\mathnet{http://mi.mathnet.ru/im349}
\crossref{https://doi.org/10.4213/im349}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1857712}
\zmath{https://zbmath.org/?q=an:1028.11045}
\elib{https://elibrary.ru/item.asp?id=13361674}
\transl
\jour Izv. Math.
\yr 2001
\vol 65
\issue 4
\pages 727--748
\crossref{https://doi.org/10.1070/IM2001v065n04ABEH000349}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746818424}
Linking options:
  • https://www.mathnet.ru/eng/im349
  • https://doi.org/10.1070/IM2001v065n04ABEH000349
  • https://www.mathnet.ru/eng/im/v65/i4/p89
    • 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
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:424
    Russian version PDF:195
    English version PDF:6
    References:83
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024