Spiridonov Vyacheslav Pavlovich

Publications in Math-Net.Ru

1. Complex binomial theorem and pentagon identities
   
   TMF, 226:1 (2026),  3–26
2. Infinite elliptic hypergeometric series: convergence and difference equations
   
   Mat. Sb., 214:12 (2023),  106–134
3. Elliptic hypergeometric function and $6j$-symbols for the $SL(2,\pmb{\mathbb C})$ group
   
   TMF, 213:1 (2022),  108–128
4. Superpositions of coherent states determined by Gauss sums
   
   TMF, 212:3 (2022),  403–413
5. Rational hypergeometric identities
   
   Funktsional. Anal. i Prilozhen., 55:3 (2021),  91–97
6. The modular group and a hyperbolic beta integral
   
   Uspekhi Mat. Nauk, 75:3(453) (2020),  187–188
7. The Endless Beta Integrals
   
   SIGMA, 16 (2020), 074, 21 pp.
8. General Modular Quantum Dilogarithm and Beta Integrals
   
   Trudy Mat. Inst. Steklova, 309 (2020),  269–289
9. The $6j$-symbols for the $SL(2,\mathbb C)$ group
   
   TMF, 198:1 (2019),  32–53
10. Matrix Bailey Lemma and the Star-Triangle Relation
    
    SIGMA, 14 (2018), 121, 13 pp.
11. From Principal Series to Finite-Dimensional Solutions of the Yang–Baxter Equation
    
    SIGMA, 12 (2016), 028, 34 pp.
12. Finite-dimensional representations of the elliptic modular double
    
    TMF, 183:2 (2015),  177–201
13. Yang–Baxter equation, parameter permutations, and the elliptic beta integral
    
    Uspekhi Mat. Nauk, 68:6(414) (2013),  59–106
14. Determinants of Elliptic Hypergeometric Integrals
    
    Funktsional. Anal. i Prilozhen., 43:4 (2009),  67–86
15. Continuous biorthogonality of the elliptic hypergeometric function
    
    Algebra i Analiz, 20:5 (2008),  155–185
16. Essays on the theory of elliptic hypergeometric functions
    
    Uspekhi Mat. Nauk, 63:3(381) (2008),  3–72
17. A Critical Phenomenon in Solitonic Ising Chains
    
    SIGMA, 3 (2007), 059, 11 pp.
18. Toda chain, Stieltjes function, and orthogonal polynomials
    
    TMF, 151:1 (2007),  81–108
19. Elliptic hypergeometric functions and Calogero–Sutherland-type models
    
    TMF, 150:2 (2007),  311–324
20. A Bailey Tree for Integrals
    
    TMF, 139:1 (2004),  104–111
21. Theta hypergeometric integrals
    
    Algebra i Analiz, 15:6 (2003),  161–215
22. Modularity and Total Ellipticity of Some Multiple Series of Hypergeometric Type
    
    TMF, 135:3 (2003),  462–477
23. On the elliptic beta function
    
    Uspekhi Mat. Nauk, 56:1(337) (2001),  181–182
24. Hypergeometric biorthogonal rational functions
    
    Uspekhi Mat. Nauk, 54:2(326) (1999),  173–174
25. Analysis of extended Slavnov–Taylor identities in the $\alpha$ gauge
    
    TMF, 79:3 (1989),  378–386


26. Viacheslav Borisovich Priezzhev (06.09.1944 – 31.12.2017)
    
    TMF, 194:3 (2018),  383–384