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, 2011, Volume 75, Issue 5, Pages 1063–1091
DOI: https://doi.org/10.1070/IM2011v075n05ABEH002564 (Mi im4270) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Van der Waerden's function and colourings of hypergraphs

D. A. Shabanov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (424 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2011v075n05ABEH002564
Abstract: A classical problem of combinatorial number theory is to compute van der Waerden's function $W(n,r)$. Using random colourings of hypergraphs, we get a new asymptotic lower bound for $W(n,r)$ which improves previous results for a wide range of values of $n$ and $r$.
Keywords: van der Waerden's theorem, arithmetic progressions, hypergraph, chromatic number.
Received: 09.12.2009
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2011, Volume 75, Issue 5, Pages 195–224
DOI: https://doi.org/10.4213/im4270
Bibliographic databases:
Document Type: Article
UDC: 511.218+519.112.4+519.212.2
MSC: 05C15, 05C65, 05D40, 11B75
Language: English
Original paper language: Russian
Citation: D. A. Shabanov, “Van der Waerden's function and colourings of hypergraphs”, Izv. RAN. Ser. Mat., 75:5 (2011), 195–224; Izv. Math., 75:5 (2011), 1063–1091
Citation in format AMSBIB
\Bibitem{Sha11}
\by D.~A.~Shabanov
\paper Van der Waerden's function and colourings of hypergraphs
\jour Izv. RAN. Ser. Mat.
\yr 2011
\vol 75
\issue 5
\pages 195--224
\mathnet{http://mi.mathnet.ru/im4270}
\crossref{https://doi.org/10.4213/im4270}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2884668}
\zmath{https://zbmath.org/?q=an:1246.05060}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011IzMat..75.1063S}
\elib{https://elibrary.ru/item.asp?id=20358815}
\transl
\jour Izv. Math.
\yr 2011
\vol 75
\issue 5
\pages 1063--1091
\crossref{https://doi.org/10.1070/IM2011v075n05ABEH002564}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000296665700009}
\elib{https://elibrary.ru/item.asp?id=18012437}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80555138829}
Linking options:
  • https://www.mathnet.ru/eng/im4270
  • https://doi.org/10.1070/IM2011v075n05ABEH002564
  • https://www.mathnet.ru/eng/im/v75/i5/p195
    • This publication is cited in the following 4 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:979
    Russian version PDF:322
    English version PDF:18
    References:79
    First page:18
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024