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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 269, Pages 308–321 (Mi znsl1321)  

This article is cited in 7 scientific papers (total in 7 papers)

Fredholm determinant representation for the partition function of the six-vertex model

N. A. Slavnov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (192 kB) Citations (7)
Abstract: The six-vertex model with domain wallboundary conditions is considered. A Fremholm determinant representation for the partition function of the model is ontained. The kernel of the corresponding integral operator depends on Laguerre polynomials.
Received: 10.05.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 1, Pages 2058–2065
DOI: https://doi.org/10.1023/A:1022664216120
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: N. A. Slavnov, “Fredholm determinant representation for the partition function of the six-vertex model”, Questions of quantum field theory and statistical physics. Part 16, Zap. Nauchn. Sem. POMI, 269, POMI, St. Petersburg, 2000, 308–321; J. Math. Sci. (N. Y.), 115:1 (2003), 2058–2065
Citation in format AMSBIB
\Bibitem{Sla00}
\by N.~A.~Slavnov
\paper Fredholm determinant representation for the partition function of the six-vertex model
\inbook Questions of quantum field theory and statistical physics. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 269
\pages 308--321
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1321}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1805867}
\zmath{https://zbmath.org/?q=an:1092.82011}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 1
\pages 2058--2065
\crossref{https://doi.org/10.1023/A:1022664216120}
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  • https://www.mathnet.ru/eng/znsl/v269/p308
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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