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Spiridonov Vyacheslav Pavlovich

Publications in Math-Net.Ru

  1. Infinite elliptic hypergeometric series: convergence and difference equations

    Mat. Sb., 214:12 (2023),  106–134
  2. Elliptic hypergeometric function and $6j$-symbols for the $SL(2,\pmb{\mathbb C})$ group

    TMF, 213:1 (2022),  108–128
  3. Superpositions of coherent states determined by Gauss sums

    TMF, 212:3 (2022),  403–413
  4. Rational hypergeometric identities

    Funktsional. Anal. i Prilozhen., 55:3 (2021),  91–97
  5. The modular group and a hyperbolic beta integral

    Uspekhi Mat. Nauk, 75:3(453) (2020),  187–188
  6. The Endless Beta Integrals

    SIGMA, 16 (2020), 074, 21 pp.
  7. General Modular Quantum Dilogarithm and Beta Integrals

    Trudy Mat. Inst. Steklova, 309 (2020),  269–289
  8. The $6j$-symbols for the $SL(2,\mathbb C)$ group

    TMF, 198:1 (2019),  32–53
  9. Matrix Bailey Lemma and the Star-Triangle Relation

    SIGMA, 14 (2018), 121, 13 pp.
  10. From Principal Series to Finite-Dimensional Solutions of the Yang–Baxter Equation

    SIGMA, 12 (2016), 028, 34 pp.
  11. Finite-dimensional representations of the elliptic modular double

    TMF, 183:2 (2015),  177–201
  12. Yang–Baxter equation, parameter permutations, and the elliptic beta integral

    Uspekhi Mat. Nauk, 68:6(414) (2013),  59–106
  13. Determinants of Elliptic Hypergeometric Integrals

    Funktsional. Anal. i Prilozhen., 43:4 (2009),  67–86
  14. Continuous biorthogonality of the elliptic hypergeometric function

    Algebra i Analiz, 20:5 (2008),  155–185
  15. Essays on the theory of elliptic hypergeometric functions

    Uspekhi Mat. Nauk, 63:3(381) (2008),  3–72
  16. A Critical Phenomenon in Solitonic Ising Chains

    SIGMA, 3 (2007), 059, 11 pp.
  17. Toda chain, Stieltjes function, and orthogonal polynomials

    TMF, 151:1 (2007),  81–108
  18. Elliptic hypergeometric functions and Calogero–Sutherland-type models

    TMF, 150:2 (2007),  311–324
  19. A Bailey Tree for Integrals

    TMF, 139:1 (2004),  104–111
  20. Theta hypergeometric integrals

    Algebra i Analiz, 15:6 (2003),  161–215
  21. Modularity and Total Ellipticity of Some Multiple Series of Hypergeometric Type

    TMF, 135:3 (2003),  462–477
  22. On the elliptic beta function

    Uspekhi Mat. Nauk, 56:1(337) (2001),  181–182
  23. Hypergeometric biorthogonal rational functions

    Uspekhi Mat. Nauk, 54:2(326) (1999),  173–174
  24. Analysis of extended Slavnov–Taylor identities in the $\alpha$ gauge

    TMF, 79:3 (1989),  378–386

  25. Viacheslav Borisovich Priezzhev (06.09.1944 – 31.12.2017)

    TMF, 194:3 (2018),  383–384


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