Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




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

Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 061, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.061 (Mi sigma844) 		 
This article is cited in 12 scientific papers (total in 12 papers)

The Algebra of a $q$-Analogue of Multiple Harmonic Series

Yoshihiro Takeyama

Division of Mathematics, Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
Full-text PDF (383 kB) Citations (12)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2013.061
Abstract: We introduce an algebra which describes the multiplication structure of a family of $q$-series containing a $q$-analogue of multiple zeta values. The double shuffle relations are formulated in our framework. They contain a $q$-analogue of Hoffman's identity for multiple zeta values. We also discuss the dimension of the space spanned by the linear relations realized in our algebra.
Keywords: multiple harmonic series; $q$-analogue.
Received: June 27, 2013; in final form October 16, 2013; Published online October 22, 2013
Bibliographic databases:
Document Type: Article
MSC: 11M32; 33E20
Language: English
Citation: Yoshihiro Takeyama, “The Algebra of a $q$-Analogue of Multiple Harmonic Series”, SIGMA, 9 (2013), 061, 15 pp.
Citation in format AMSBIB
\Bibitem{Tak13}
\by Yoshihiro~Takeyama
\paper The Algebra of a~$q$-Analogue of Multiple Harmonic Series
\jour SIGMA
\yr 2013
\vol 9
\papernumber 061
\totalpages 15
\mathnet{http://mi.mathnet.ru/sigma844}
\crossref{https://doi.org/10.3842/SIGMA.2013.061}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3141529}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000325915300001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84885987150}
Linking options:
  • https://www.mathnet.ru/eng/sigma844
  • https://www.mathnet.ru/eng/sigma/v9/p61
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:174
    Full-text PDF :39
    References:30
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024