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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 126, Number 1, Pages 84–101
DOI: https://doi.org/10.4213/tmf416 (Mi tmf416) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Ising Model and LL-Function

Yu. M. Zinoviev

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (284 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf416
Abstract: The correlation functions for the two-dimensional Ising model with free boundary conditions are calculated.
Received: 29.05.2000
English version:
Theoretical and Mathematical Physics, 2001, Volume 126, Issue 1, Pages 66–80
DOI: https://doi.org/10.1023/A:1005202114780
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. M. Zinoviev, “Ising Model and LL-Function”, TMF, 126:1 (2001), 84–101; Theoret. and Math. Phys., 126:1 (2001), 66–80
Citation in format AMSBIB
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\paper Ising Model and $L$-Function
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\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 126
\issue 1
\pages 66--80
\crossref{https://doi.org/10.1023/A:1005202114780}
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  • https://www.mathnet.ru/eng/tmf416
  • https://doi.org/10.4213/tmf416
  • https://www.mathnet.ru/eng/tmf/v126/i1/p84
    • This publication is cited in the following 5 articles:
    1. Gandhimohan M. Viswanathan, “Mahler measures, elliptic curves, and L -functions for the free energy of the Ising model”, Phys. Rev. E, 110:5 (2024)  crossref
    2. I. M. Ratner, “Eigenvalues of the transfer matrix of the three-dimensional Ising model in the particular case $n=m=2$”, Theoret. and Math. Phys., 199:3 (2019), 909–921  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    3. Yu. M. Zinoviev, “Pfaffian and the Kac–Ward Formula in the Two-Dimensional Ising Model”, Proc. Steklov Inst. Math., 251 (2005), 132–145  mathnet  mathscinet  zmath
    4. Yu. M. Zinoviev, “Spontaneous Magnetization in the Two-Dimensional Ising Model”, Theoret. and Math. Phys., 136:3 (2003), 1280–1296  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    5. Yu. M. Zinoviev, “The Three-Dimensional ${\mathbb Z}_{2}$ Electrodynamics and the Two-Dimensional Ising Model”, Theoret. and Math. Phys., 132:1 (2002), 1000–1011  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:89
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