Edit Profile (opens in new tab) Spiridonov, Vyacheslav Pavlovich Co-Author Distance Author ID: spiridonov.vyacheslav-p Published as: Spiridonov, V. P.; Spiridonov, Vyacheslav; Spiridonov, Vyacheslav P.; Spiridonov, V. more...less External Links: ResearchGate · Math-Net.Ru Documents Indexed: 112 Publications since 1985, including 6 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 37 Co-Authors with 74 Joint Publications 1,033 Co-Co-Authors all top 5 Co-Authors 40 single-authored 25 Zhedanov, Alexei S. 9 Sarkissian, Gor 9 Vinet, Luc 7 Loutsenko, Igor M. 6 Derkachëv, Sergeĭ Èduardovich 6 Vartanov, Grigory S. 5 van Diejen, Jan Felipe 3 Brünner, Frederic 3 Chicherin, Dmitry 2 Skorik, Sergei 2 Warnaar, S. Ole 1 Apresyan, Elena 1 Brankov, I. G. 1 Durand, Stéphane 1 Exner, Pavel 1 Floreanini, Roberto 1 Gahramanov, Ilmar 1 Gazeau, Jean-Pierre 1 Gritsenko, Valeriĭ Alekseevich 1 Ivanov, Evgeniĭ Alekseevich 1 Kazakov, Dmitri I. 1 Korovnichenko, Alyona 1 Krattenthaler, Christian Friedrich 1 Krotkov, Danil I. 1 Lutzenko, I. M. 1 Magadov, Kamil Yu 1 Mayrand, Michel 1 Nechaev, Sergeĭ Konstantinovich 1 Peherstorfer, Franz 1 Plakida, Nikolay M. 1 Povolotsky, A. M. 1 Priezzhev, Vyacheslav Borisovich 1 Rains, Eric M. 1 Regalado, Diego 1 Tsujimoto, Satoshi 1 Yermolayeva, O. V. 1 Zagrebnov, Valentin A. all top 5 Serials 9 Theoretical and Mathematical Physics 8 Journal of Physics A: Mathematical and General 7 Letters in Mathematical Physics 6 Communications in Mathematical Physics 6 Journal of High Energy Physics 5 Russian Mathematical Surveys 4 The Ramanujan Journal 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Nuclear Physics. B 2 Modern Physics Letters A 2 Physics Letters. A 2 Physics Letters. B 2 Advances in Mathematics 2 Functional Analysis and its Applications 2 IMRN. International Mathematics Research Notices 2 St. Petersburg Mathematical Journal 2 Journal of Physics A: Mathematical and Theoretical 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Soviet Journal of Nuclear Physics 1 Journal of Geometry and Physics 1 Duke Mathematical Journal 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Annals of Physics 1 Mathematical Research Letters 1 Methods and Applications of Analysis 1 Sbornik: Mathematics 1 Physical Review Letters 1 Journal of Statistical Mechanics: Theory and Experiment 1 Chebyshevskiĭ Sbornik 1 Proceedings of the Steklov Institute of Mathematics 1 Moscow Lectures all top 5 Fields 75 Special functions (33-XX) 45 Quantum theory (81-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Difference and functional equations (39-XX) 11 Nonassociative rings and algebras (17-XX) 11 Dynamical systems and ergodic theory (37-XX) 8 Number theory (11-XX) 7 Ordinary differential equations (34-XX) 4 Associative rings and algebras (16-XX) 4 Partial differential equations (35-XX) 3 Algebraic geometry (14-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 88 Publications have been cited 1,464 times in 635 Documents Cited by ▼ Year ▼ Elliptic hypergeometry of supersymmetric dualities. Zbl 1225.81137 Spiridonov, V. P.; Vartanov, G. S. 109 2011 On the elliptic beta function. Zbl 0997.33009 Spiridonov, V. P. 79 2001 Essays on the theory of elliptic hypergeometric functions. Zbl 1173.33017 Spiridonov, V. P. 74 2008 Theta hypergeometric integrals. Zbl 1071.33011 Spiridonov, V. P. 63 2004 Superconformal indices of three-dimensional theories related by mirror symmetry. Zbl 1298.81186 Krattenthaler, C.; Spiridonov, V. P.; Vartanov, G. S. 55 2011 Discrete Darboux transformations, the discrete-time Toda lattice, and the Askey-Wilson polynomials. Zbl 0859.33017 Spiridonov, Vyacheslav; Zhedanov, Alexei 47 1995 Superconformal indices for \({\mathcal N}=1\) theories with multiple duals. Zbl 1196.81208 Spiridonov, V. P.; Vartanov, G. S. 45 2010 Inversions of integral operators and elliptic beta integrals on root systems. Zbl 1103.33015 Spiridonov, Vyacheslav P.; Warnaar, S. Ole 45 2006 Elliptic beta integrals and solvable models of statistical mechanics. Zbl 1244.82019 Spiridonov, V. P. 45 2012 Elliptic Selberg integrals. Zbl 1010.33010 van Diejen, J. F.; Spiridonov, V. P. 43 2001 Elliptic hypergeometry of supersymmetric dualities. II: Orthogonal groups, knots, and vortices. Zbl 1285.81064 Spiridonov, V. P.; Vartanov, G. S. 41 2014 Spectral transformation chains and some new biorthogonal rational functions. Zbl 0989.33008 Spiridonov, Vyacheslav; Zhedanov, Alexei 39 2000 Elliptic hypergeometric integrals and ’t Hooft anomaly matching conditions. Zbl 1397.81329 Spiridonov, V. P.; Vartanov, G. S. 36 2012 An elliptic Macdonald-Morris conjecture and multiple modular hypergeometric sums. Zbl 0981.33013 van Diejen, J. F.; Spiridonov, V. P. 34 2000 \(q\)-oscillator realizations of the quantum superalgebras \(sl_ q(m,n)\) and \(osp_ q(m,2n)\). Zbl 0735.17025 Floreanini, Roberto; Spiridonov, Vyacheslav P.; Vinet, Luc 31 1991 Theta hypergeometric series. Zbl 1041.11032 Spiridonov, V. P. 30 2002 A Bailey tree for integrals. Zbl 1178.33019 Spiridonov, V. P. 29 2004 An elliptic incarnation of the Bailey chain. Zbl 1185.33023 Spiridonov, V. P. 28 2002 Exactly solvable potentials and quantum algebras. Zbl 0968.81524 Spiridonov, Vyacheslav 27 1992 Superconformal indices of \({{\mathcal N}=4}\) SYM field theories. Zbl 1243.81207 Spiridonov, Vyacheslav P.; Vartanov, Grigory S. 26 2012 Short proofs of the elliptic beta integrals. Zbl 1118.33008 Spiridonov, V. P. 25 2007 Discrete-time Volterra chain and classical orthogonal polynomials. Zbl 0928.39007 Spiridonov, Vyacheslav; Zhedanov, Alexei 25 1997 Spectral transformations, self-similar reductions and orthogonal polynomials. Zbl 0926.39006 Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 22 1997 Elliptic hypergeometric functions and Calogero-Sutherland-type models. Zbl 1125.37040 Spiridonov, V. P. 21 2007 Toda chain, Stieltjes function, and orthogonal polynomials. Zbl 1121.37054 Peherstorfer, F.; Spiridonov, V. P.; Zhedanov, A. S. 21 2007 Unit circle elliptic beta integrals. Zbl 1160.33309 van Diejen, J. F.; Spiridonov, V. P. 20 2005 Yang-Baxter equation, parameter permutations, and the elliptic beta integral. Zbl 1329.82037 Derkachev, S. È.; Spiridonov, V. P. 19 2013 Rarefied elliptic hypergeometric functions. Zbl 1480.33009 Spiridonov, V. P. 19 2018 Difference Schrödinger operators with linear and exponential discrete spectra. Zbl 0790.33017 Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 17 1993 Generalized eigenvalue problem and a new family of rational functions biorthogonal on elliptic grids. Zbl 1039.42022 Spiridonov, V. P.; Zhedanov, A. S. 17 2001 Deformed conformal and supersymmetric quantum mechanics. Zbl 1021.81520 Spiridonov, Vyacheslav 17 1992 Supersymmetric Casimir energy and \( \mathrm{S}\mathrm{L}\left(3,\mathbb{Z}\right) \) transformations. Zbl 1380.81376 Brünner, Frederic; Regalado, Diego; Spiridonov, Vyacheslav P. 15 2017 The \(6j\)-symbols for the \(SL(2,\mathbb{C})\) group. Zbl 1419.81020 Derkachov, S. E.; Spiridonov, V. P. 15 2019 The star-triangle relation and 3\(d\) superconformal indices. Zbl 1388.81211 Gahramanov, I.; Spiridonov, V. P. 14 2015 Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials. Zbl 1136.37041 Spiridonov, V. P.; Tsujimoto, S.; Zhedanov, A. S. 14 2007 Classical biorthogonal rational functions on elliptic grids. Zbl 0974.33016 Spiridonov, Vyacheslav; Zhedanov, Alexei 13 2000 Determinants of elliptic hypergeometric integrals. Zbl 1193.33201 Rains, E. M.; Spiridonov, V. P. 12 2009 Self-similar potentials and the \(q\)-oscillator algebra at roots of unity. Zbl 0778.17012 Skorik, Sergei; Spiridonov, Vyacheslav 11 1993 Zeros and orthogonality of the Askey-Wilson polynomials for \(q\) a root of unity. Zbl 0882.33007 Spiridonov, Vyacheslav; Zhedanov, Alexei 11 1997 Higher order parasupersymmetric quantum mechanics. Zbl 1020.81598 Durand, Stéphane; Mayrand, Michel; Spiridonov, Vyacheslav; Vinet, Luc 11 1991 Modular hypergeometric residue sums of elliptic Selberg integrals. Zbl 1014.33011 Van Diejen, J. F.; Spiridonov, V. P. 11 2001 From principal series to finite-dimensional solutions of the Yang-Baxter equation. Zbl 1381.81057 Chicherin, Dmitry; Derkachov, Sergey E.; Spiridonov, Vyacheslav P. 10 2016 Continuous biorthogonality of an elliptic hypergeometric function. Zbl 1206.33015 Spiridonov, V. P. 10 2009 Elliptic beta integrals and special functions of hypergeometric type. Zbl 0997.33010 Spiridonov, V. P. 10 2001 The endless beta integrals. Zbl 1473.33009 Sarkissian, Gor A.; Spiridonov, Vyacheslav P. 9 2020 A duality web of linear quivers. Zbl 1368.81145 Brünner, Frederic; Spiridonov, Vyacheslav P. 8 2016 Elliptic beta integrals and modular hypergeometric sums: An overview. Zbl 1040.33017 van Diejen, J. F.; Spiridonov, V. P. 8 2002 Coherent states of the \(q\)-Weyl algebra. Zbl 0833.17013 Spiridonov, Vyacheslav 7 1995 New elliptic solutions of the Yang-Baxter equation. Zbl 1397.16034 Chicherin, D.; Derkachov, S. E.; Spiridonov, V. P. 7 2016 Aspects of elliptic hypergeometric functions. Zbl 1307.33007 Spiridonov, V. P. 6 2013 Discrete reflectionless potentials, quantum algebras, and \(q\)-orthogonal polynomials. Zbl 0813.35098 Spiridonov, Vyacheslav; Zhedanov, Alexei 5 1995 Soliton solutions of integrable hierarchies and Coulomb plasmas. Zbl 0959.82027 Loutsenko, Igor; Spiridonov, Vyacheslav 5 2000 Elliptic grids, rational functions, and the Padé interpolation. Zbl 1136.42021 Spiridonov, V. P.; Zhedanov, A. S. 5 2007 Bispectrality and Darboux transformations in the theory of orthogonal polynomials. Zbl 0901.42015 Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 5 1998 From rarefied elliptic beta integral to parafermionic star-triangle relation. Zbl 1402.83101 Sarkissian, Gor; Spiridonov, Vyacheslav P. 5 2018 Self-similarity, spectral transformations and orthogonal and biorthogonal polynomials. Zbl 1010.42014 Spiridonov, Vyacheslav; Zhedanov, Alexei 5 1999 Finite-dimensional representations of the elliptic modular double. Zbl 1328.81132 Derkachov, S. E.; Spiridonov, V. P. 5 2015 \(q\)-ultraspherical polynomials for \(q\) a root of unity. Zbl 0870.33014 Spiridonov, Vyacheslav; Zhedanov, Alexei 4 1996 Toward discrete wavelets with irrational scaling factor. Zbl 0861.42024 Gazeau, Jean Pierre; Spiridonov, Vyacheslav 4 1996 New multiple \(_{6} \psi _{6}\) summation formulas and related conjectures. Zbl 1226.05254 Spiridonov, Vyacheslav P.; Warnaar, S. Ole 4 2011 Modified elliptic gamma functions and 6d superconformal indices. Zbl 1303.81195 Spiridonov, Vyacheslav P. 4 2014 4d \( \mathcal{N}=1\) quiver gauge theories and the \(A_n\) Bailey lemma. Zbl 1388.81784 Brünner, Frederic; Spiridonov, Vyacheslav P. 4 2018 An elliptic beta integral. Zbl 1065.33015 Spiridonov, V. P. 4 2002 The hyperbolic modular double and the Yang-Baxter equation. Zbl 1409.33014 Chicherin, Dmitry; Spiridonov, Vyacheslav P. 4 2018 Complex hypergeometric functions and integrable many-body problems. Zbl 1519.70018 Sarkissian, G. A.; Spiridonov, V. P. 4 2022 General modular quantum dilogarithm and beta integrals. Zbl 1445.81057 Sarkissian, Gor A.; Spiridonov, Vyacheslav P. 4 2020 The rarefied elliptic Bailey lemma and the Yang-Baxter equation. Zbl 1509.16034 Spiridonov, V. P. 4 2019 Symmetry preserving quantization and self-similar potentials. Zbl 0900.70245 Spiridonov, Vyacheslav; Zhedanov, Alexei 3 1995 Elliptic hypergeometric terms. Zbl 1295.33023 Spiridonov, V. P. 3 2011 Spectral self-similarity, one-dimensional Ising chains and random matrices. Zbl 0948.82023 Loutsenko, Igor; Spiridonov, Vyacheslav 3 1999 Rational hypergeometric identities. Zbl 1503.33007 Sarkissian, G. A.; Spiridonov, V. P. 3 2021 Hierarchy of the parasupersymmetric Hamiltonians in quantum mechanics. Zbl 0738.58060 Spiridonov, V. P. 2 1991 On the spectra of hyperelliptic potentials. Zbl 0959.34503 Skorik, Sergei; Spiridonov, Vyacheslav 2 1994 On the spectrum of a \(q\)-oscillator with a linear interaction. Zbl 1020.81658 Lutzenko, I.; Spiridonov, V.; Zhedanov, A. 2 1995 Symmetries of factorization chains for the discrete Schrödinger equation. Zbl 0956.39014 Spiridonov, Vyacheslav 2 1997 The factorization method, self-similar potentials and quantum algebras. Zbl 1018.33016 Spiridonov, V. P. 2 2001 Elliptic hypergeometric function and \(6j\)-symbols for the \(SL(2,{\mathbb C})\) group. Zbl 1516.33011 Derkachov, S. E.; Sarkissian, G. A.; Spiridonov, V. P. 2 2022 Solitons and Coulomb plasmas, similarity reductions and special functions. Zbl 1097.37507 Spiridonov, V. P. 2 2000 A parafermionic hypergeometric function and supersymmetric \(6j\)-symbols. Zbl 1530.33015 Apresyan, Elena; Sarkissian, Gor; Spiridonov, Vyacheslav P. 2 2023 The modular group and a hyperbolic beta integral. Zbl 1441.11082 Sarkissian, Gor A.; Spiridonov, Vyacheslav P. 2 2020 Discrete Schrödinger equation, Darboux transformations, and orthogonal polynomials. Zbl 0859.33016 Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 1 1996 Periodic reduction of the factorizing chain and the Hahn polynomials. Zbl 0842.34041 Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 1 1994 Modularity and total ellipticity of some multiple series of hypergeometric type. Zbl 1178.33004 Spiridonov, V. P. 1 2003 A critical phenomenon in solitonic Ising chains. Zbl 1193.82006 Loutsenko, Igor M.; Spiridonov, Vyacheslav P. 1 2007 A multiparameter summation formula for Riemann theta functions. Zbl 1132.33340 Spiridonov, Vyacheslav P. 1 2006 Self-similar systems. Proceedings of the international workshop, Dubna, Russia, July 30–August 7, 1998. Zbl 0971.00015 1 1999 Partition functions and automorphic forms. Lecture notes based on the presentations at the international scientifc school, Dubna, Russia, January 29 – February 2, 2018. Zbl 1454.81013 1 2020 Introduction to the theory of elliptic hypergeometric integrals. Zbl 1454.81205 Spiridonov, Vyacheslav P. 1 2020 A parafermionic hypergeometric function and supersymmetric \(6j\)-symbols. Zbl 1530.33015 Apresyan, Elena; Sarkissian, Gor; Spiridonov, Vyacheslav P. 2 2023 Complex hypergeometric functions and integrable many-body problems. Zbl 1519.70018 Sarkissian, G. A.; Spiridonov, V. P. 4 2022 Elliptic hypergeometric function and \(6j\)-symbols for the \(SL(2,{\mathbb C})\) group. Zbl 1516.33011 Derkachov, S. E.; Sarkissian, G. A.; Spiridonov, V. P. 2 2022 Rational hypergeometric identities. Zbl 1503.33007 Sarkissian, G. A.; Spiridonov, V. P. 3 2021 The endless beta integrals. Zbl 1473.33009 Sarkissian, Gor A.; Spiridonov, Vyacheslav P. 9 2020 General modular quantum dilogarithm and beta integrals. Zbl 1445.81057 Sarkissian, Gor A.; Spiridonov, Vyacheslav P. 4 2020 The modular group and a hyperbolic beta integral. Zbl 1441.11082 Sarkissian, Gor A.; Spiridonov, Vyacheslav P. 2 2020 Partition functions and automorphic forms. Lecture notes based on the presentations at the international scientifc school, Dubna, Russia, January 29 – February 2, 2018. Zbl 1454.81013 1 2020 Introduction to the theory of elliptic hypergeometric integrals. Zbl 1454.81205 Spiridonov, Vyacheslav P. 1 2020 The \(6j\)-symbols for the \(SL(2,\mathbb{C})\) group. Zbl 1419.81020 Derkachov, S. E.; Spiridonov, V. P. 15 2019 The rarefied elliptic Bailey lemma and the Yang-Baxter equation. Zbl 1509.16034 Spiridonov, V. P. 4 2019 Rarefied elliptic hypergeometric functions. Zbl 1480.33009 Spiridonov, V. P. 19 2018 From rarefied elliptic beta integral to parafermionic star-triangle relation. Zbl 1402.83101 Sarkissian, Gor; Spiridonov, Vyacheslav P. 5 2018 4d \( \mathcal{N}=1\) quiver gauge theories and the \(A_n\) Bailey lemma. Zbl 1388.81784 Brünner, Frederic; Spiridonov, Vyacheslav P. 4 2018 The hyperbolic modular double and the Yang-Baxter equation. Zbl 1409.33014 Chicherin, Dmitry; Spiridonov, Vyacheslav P. 4 2018 Supersymmetric Casimir energy and \( \mathrm{S}\mathrm{L}\left(3,\mathbb{Z}\right) \) transformations. Zbl 1380.81376 Brünner, Frederic; Regalado, Diego; Spiridonov, Vyacheslav P. 15 2017 From principal series to finite-dimensional solutions of the Yang-Baxter equation. Zbl 1381.81057 Chicherin, Dmitry; Derkachov, Sergey E.; Spiridonov, Vyacheslav P. 10 2016 A duality web of linear quivers. Zbl 1368.81145 Brünner, Frederic; Spiridonov, Vyacheslav P. 8 2016 New elliptic solutions of the Yang-Baxter equation. Zbl 1397.16034 Chicherin, D.; Derkachov, S. E.; Spiridonov, V. P. 7 2016 The star-triangle relation and 3\(d\) superconformal indices. Zbl 1388.81211 Gahramanov, I.; Spiridonov, V. P. 14 2015 Finite-dimensional representations of the elliptic modular double. Zbl 1328.81132 Derkachov, S. E.; Spiridonov, V. P. 5 2015 Elliptic hypergeometry of supersymmetric dualities. II: Orthogonal groups, knots, and vortices. Zbl 1285.81064 Spiridonov, V. P.; Vartanov, G. S. 41 2014 Modified elliptic gamma functions and 6d superconformal indices. Zbl 1303.81195 Spiridonov, Vyacheslav P. 4 2014 Yang-Baxter equation, parameter permutations, and the elliptic beta integral. Zbl 1329.82037 Derkachev, S. È.; Spiridonov, V. P. 19 2013 Aspects of elliptic hypergeometric functions. Zbl 1307.33007 Spiridonov, V. P. 6 2013 Elliptic beta integrals and solvable models of statistical mechanics. Zbl 1244.82019 Spiridonov, V. P. 45 2012 Elliptic hypergeometric integrals and ’t Hooft anomaly matching conditions. Zbl 1397.81329 Spiridonov, V. P.; Vartanov, G. S. 36 2012 Superconformal indices of \({{\mathcal N}=4}\) SYM field theories. Zbl 1243.81207 Spiridonov, Vyacheslav P.; Vartanov, Grigory S. 26 2012 Elliptic hypergeometry of supersymmetric dualities. Zbl 1225.81137 Spiridonov, V. P.; Vartanov, G. S. 109 2011 Superconformal indices of three-dimensional theories related by mirror symmetry. Zbl 1298.81186 Krattenthaler, C.; Spiridonov, V. P.; Vartanov, G. S. 55 2011 New multiple \(_{6} \psi _{6}\) summation formulas and related conjectures. Zbl 1226.05254 Spiridonov, Vyacheslav P.; Warnaar, S. Ole 4 2011 Elliptic hypergeometric terms. Zbl 1295.33023 Spiridonov, V. P. 3 2011 Superconformal indices for \({\mathcal N}=1\) theories with multiple duals. Zbl 1196.81208 Spiridonov, V. P.; Vartanov, G. S. 45 2010 Determinants of elliptic hypergeometric integrals. Zbl 1193.33201 Rains, E. M.; Spiridonov, V. P. 12 2009 Continuous biorthogonality of an elliptic hypergeometric function. Zbl 1206.33015 Spiridonov, V. P. 10 2009 Essays on the theory of elliptic hypergeometric functions. Zbl 1173.33017 Spiridonov, V. P. 74 2008 Short proofs of the elliptic beta integrals. Zbl 1118.33008 Spiridonov, V. P. 25 2007 Elliptic hypergeometric functions and Calogero-Sutherland-type models. Zbl 1125.37040 Spiridonov, V. P. 21 2007 Toda chain, Stieltjes function, and orthogonal polynomials. Zbl 1121.37054 Peherstorfer, F.; Spiridonov, V. P.; Zhedanov, A. S. 21 2007 Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials. Zbl 1136.37041 Spiridonov, V. P.; Tsujimoto, S.; Zhedanov, A. S. 14 2007 Elliptic grids, rational functions, and the Padé interpolation. Zbl 1136.42021 Spiridonov, V. P.; Zhedanov, A. S. 5 2007 A critical phenomenon in solitonic Ising chains. Zbl 1193.82006 Loutsenko, Igor M.; Spiridonov, Vyacheslav P. 1 2007 Inversions of integral operators and elliptic beta integrals on root systems. Zbl 1103.33015 Spiridonov, Vyacheslav P.; Warnaar, S. Ole 45 2006 A multiparameter summation formula for Riemann theta functions. Zbl 1132.33340 Spiridonov, Vyacheslav P. 1 2006 Unit circle elliptic beta integrals. Zbl 1160.33309 van Diejen, J. F.; Spiridonov, V. P. 20 2005 Theta hypergeometric integrals. Zbl 1071.33011 Spiridonov, V. P. 63 2004 A Bailey tree for integrals. Zbl 1178.33019 Spiridonov, V. P. 29 2004 Modularity and total ellipticity of some multiple series of hypergeometric type. Zbl 1178.33004 Spiridonov, V. P. 1 2003 Theta hypergeometric series. Zbl 1041.11032 Spiridonov, V. P. 30 2002 An elliptic incarnation of the Bailey chain. Zbl 1185.33023 Spiridonov, V. P. 28 2002 Elliptic beta integrals and modular hypergeometric sums: An overview. Zbl 1040.33017 van Diejen, J. F.; Spiridonov, V. P. 8 2002 An elliptic beta integral. Zbl 1065.33015 Spiridonov, V. P. 4 2002 On the elliptic beta function. Zbl 0997.33009 Spiridonov, V. P. 79 2001 Elliptic Selberg integrals. Zbl 1010.33010 van Diejen, J. F.; Spiridonov, V. P. 43 2001 Generalized eigenvalue problem and a new family of rational functions biorthogonal on elliptic grids. Zbl 1039.42022 Spiridonov, V. P.; Zhedanov, A. S. 17 2001 Modular hypergeometric residue sums of elliptic Selberg integrals. Zbl 1014.33011 Van Diejen, J. F.; Spiridonov, V. P. 11 2001 Elliptic beta integrals and special functions of hypergeometric type. Zbl 0997.33010 Spiridonov, V. P. 10 2001 The factorization method, self-similar potentials and quantum algebras. Zbl 1018.33016 Spiridonov, V. P. 2 2001 Spectral transformation chains and some new biorthogonal rational functions. Zbl 0989.33008 Spiridonov, Vyacheslav; Zhedanov, Alexei 39 2000 An elliptic Macdonald-Morris conjecture and multiple modular hypergeometric sums. Zbl 0981.33013 van Diejen, J. F.; Spiridonov, V. P. 34 2000 Classical biorthogonal rational functions on elliptic grids. Zbl 0974.33016 Spiridonov, Vyacheslav; Zhedanov, Alexei 13 2000 Soliton solutions of integrable hierarchies and Coulomb plasmas. Zbl 0959.82027 Loutsenko, Igor; Spiridonov, Vyacheslav 5 2000 Solitons and Coulomb plasmas, similarity reductions and special functions. Zbl 1097.37507 Spiridonov, V. P. 2 2000 Self-similarity, spectral transformations and orthogonal and biorthogonal polynomials. Zbl 1010.42014 Spiridonov, Vyacheslav; Zhedanov, Alexei 5 1999 Spectral self-similarity, one-dimensional Ising chains and random matrices. Zbl 0948.82023 Loutsenko, Igor; Spiridonov, Vyacheslav 3 1999 Self-similar systems. Proceedings of the international workshop, Dubna, Russia, July 30–August 7, 1998. Zbl 0971.00015 1 1999 Bispectrality and Darboux transformations in the theory of orthogonal polynomials. Zbl 0901.42015 Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 5 1998 Discrete-time Volterra chain and classical orthogonal polynomials. Zbl 0928.39007 Spiridonov, Vyacheslav; Zhedanov, Alexei 25 1997 Spectral transformations, self-similar reductions and orthogonal polynomials. Zbl 0926.39006 Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 22 1997 Zeros and orthogonality of the Askey-Wilson polynomials for \(q\) a root of unity. Zbl 0882.33007 Spiridonov, Vyacheslav; Zhedanov, Alexei 11 1997 Symmetries of factorization chains for the discrete Schrödinger equation. Zbl 0956.39014 Spiridonov, Vyacheslav 2 1997 \(q\)-ultraspherical polynomials for \(q\) a root of unity. Zbl 0870.33014 Spiridonov, Vyacheslav; Zhedanov, Alexei 4 1996 Toward discrete wavelets with irrational scaling factor. Zbl 0861.42024 Gazeau, Jean Pierre; Spiridonov, Vyacheslav 4 1996 Discrete Schrödinger equation, Darboux transformations, and orthogonal polynomials. Zbl 0859.33016 Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 1 1996 Discrete Darboux transformations, the discrete-time Toda lattice, and the Askey-Wilson polynomials. Zbl 0859.33017 Spiridonov, Vyacheslav; Zhedanov, Alexei 47 1995 Coherent states of the \(q\)-Weyl algebra. Zbl 0833.17013 Spiridonov, Vyacheslav 7 1995 Discrete reflectionless potentials, quantum algebras, and \(q\)-orthogonal polynomials. Zbl 0813.35098 Spiridonov, Vyacheslav; Zhedanov, Alexei 5 1995 Symmetry preserving quantization and self-similar potentials. Zbl 0900.70245 Spiridonov, Vyacheslav; Zhedanov, Alexei 3 1995 On the spectrum of a \(q\)-oscillator with a linear interaction. Zbl 1020.81658 Lutzenko, I.; Spiridonov, V.; Zhedanov, A. 2 1995 On the spectra of hyperelliptic potentials. Zbl 0959.34503 Skorik, Sergei; Spiridonov, Vyacheslav 2 1994 Periodic reduction of the factorizing chain and the Hahn polynomials. Zbl 0842.34041 Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 1 1994 Difference Schrödinger operators with linear and exponential discrete spectra. Zbl 0790.33017 Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 17 1993 Self-similar potentials and the \(q\)-oscillator algebra at roots of unity. Zbl 0778.17012 Skorik, Sergei; Spiridonov, Vyacheslav 11 1993 Exactly solvable potentials and quantum algebras. Zbl 0968.81524 Spiridonov, Vyacheslav 27 1992 Deformed conformal and supersymmetric quantum mechanics. Zbl 1021.81520 Spiridonov, Vyacheslav 17 1992 \(q\)-oscillator realizations of the quantum superalgebras \(sl_ q(m,n)\) and \(osp_ q(m,2n)\). Zbl 0735.17025 Floreanini, Roberto; Spiridonov, Vyacheslav P.; Vinet, Luc 31 1991 Higher order parasupersymmetric quantum mechanics. Zbl 1020.81598 Durand, Stéphane; Mayrand, Michel; Spiridonov, Vyacheslav; Vinet, Luc 11 1991 Hierarchy of the parasupersymmetric Hamiltonians in quantum mechanics. Zbl 0738.58060 Spiridonov, V. P. 2 1991 all cited Publications top 5 cited Publications all top 5 Cited by 635 Authors 53 Spiridonov, Vyacheslav Pavlovich 27 Zhedanov, Alexei S. 26 Razamat, Shlomo S. 16 Derkachëv, Sergeĭ Èduardovich 16 Rains, Eric M. 15 Amariti, Antonio 15 Vinet, Luc 13 Marcellán Español, Francisco 11 Derevyagin, Maxim S. 11 Rosengren, Hjalmar 10 Noumi, Masatoshi 10 Pasquetti, Sara 10 Sarkissian, Gor 9 Chang, Xiangke 9 Gadde, Abhijit 9 Hwang, Chiung 9 Schlosser, Michael J. 9 Warnaar, S. Ole 9 Yamazaki, Masahito 8 Gaiotto, Davide 8 Hu, Xingbiao 8 Park, Jaemo 8 Sacchi, Matteo 8 Vartanov, Grigory S. 8 Yan, Wenbin 8 Zafrir, Gabi 7 Gahramanov, Ilmar 7 Ito, Masahiko 7 Iwasaki, Masashi 7 Mekareeya, Noppadol 7 Rastelli, Leonardo 7 Tsujimoto, Satoshi 6 Chen, Xiaomin 6 Fakhri, Hossein 6 Kels, Andrew P. 6 Martelli, Dario 6 Palev, Tchavdar D. 6 Song, Jaewon 6 Willett, Brian 5 Ardehali, Arash Arabi 5 Cabo-Bizet, Alejandro 5 Cassani, Davide 5 Floreanini, Roberto 5 Hong, Junho 5 Manashov, Alexander N. 5 Nakamura, Yoshimasa 5 Neretin, Yuriĭ Aleksandrovich 5 Nieri, Fabrizio 5 Stokman, Jasper V. 5 van Diejen, Jan Felipe 5 Zaffaroni, Alberto 4 Benvenuti, Sergio 4 Hanany, Amihay 4 He, Yi 4 Kim, Hee-Cheol 4 Le Floch, Bruno 4 Lei, Yang 4 Li, Shihao 4 Maruyoshi, Kazunobu 4 Mc Laughlin, James G. 4 Murthy, Sameer 4 Sela, Orr 4 Vafa, Cumrun 4 Valinevich, Pavel A. 4 Varchenko, Alexander Nikolaevich 4 Zhang, Zhizheng 3 Agarwal, Prarit 3 Aharony, Ofer 3 Bazhanov, Vladimir V. 3 Bobev, Nokolai 3 Branquinho, Amílcar José Pinto Lopes 3 Brünner, Frederic 3 Bueno, María Isabel 3 Chicherin, Dmitry 3 Chu, Wenchang 3 Closset, Cyril 3 Cremonesi, Stefano 3 Dimofte, Tudor Dan 3 Durán, Antonio José 3 Gang, Dongmin 3 García-Ardila, Juan Carlos 3 Grünbaum, Francisco Alberto 3 Gukov, Sergei 3 Heidenreich, Ben 3 Hernández, Javier 3 Hook, Anson 3 Hosseini, Seyed Morteza 3 Hristov, Kiril 3 Imamura, Yosuke 3 Ivanov, Aleksandr Valentinovich 3 Jejjala, Vishnu 3 Kashaev, Rinat M. 3 Kim, Hyungchul 3 Komargodski, Zohar 3 Li, Wei 3 Loutsenko, Igor M. 3 Mori, Hironori 3 Nii, Keita 3 Orlando, Domenico 3 Papadimitriou, Ioannis ...and 535 more Authors all top 5 Cited in 118 Serials 175 Journal of High Energy Physics 35 Journal of Mathematical Physics 32 Letters in Mathematical Physics 22 Communications in Mathematical Physics 22 Nuclear Physics. B 22 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 21 The Ramanujan Journal 16 Journal of Computational and Applied Mathematics 16 Journal of Physics A: Mathematical and Theoretical 15 Theoretical and Mathematical Physics 15 Journal of Approximation Theory 13 Advances in Mathematics 13 Journal of Mathematical Sciences (New York) 12 Physics Letters. A 9 Journal of Mathematical Analysis and Applications 8 Proceedings of the American Mathematical Society 7 Modern Physics Letters A 7 Linear Algebra and its Applications 6 Constructive Approximation 5 International Journal of Modern Physics A 5 Physica D 4 International Journal of Theoretical Physics 4 Physics Letters. B 4 Journal of Combinatorial Theory. 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Mathematics 2 SciPost Physics 1 Computers & Mathematics with Applications 1 Journal d’Analyse Mathématique 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Fortschritte der Physik 1 Acta Mathematica Vietnamica 1 Calcolo 1 Journal of Applied Probability 1 The Journal of Mathematical Sociology 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Journal of Statistical Planning and Inference 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Advances in Mathematics (Beijing) 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 SIAM Journal on Discrete Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Applied Mathematical Modelling 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Mathematics 1 Computational and Applied Mathematics 1 Filomat 1 The Electronic Journal of Combinatorics 1 Journal of Difference Equations and Applications 1 Sbornik: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Abstract and Applied Analysis 1 Geometry & Topology 1 Annals of Mathematics. Second Series 1 Communications of the Korean Mathematical Society 1 Annales Henri Poincaré 1 Physical Review Letters 1 Czechoslovak Journal of Physics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Computational Methods and Function Theory 1 Journal of Applied Mathematics and Computing 1 Central European Journal of Mathematics 1 Analysis and Applications (Singapore) 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Boundary Value Problems 1 Proceedings of the Steklov Institute of Mathematics ...and 18 more Serials all top 5 Cited in 47 Fields 357 Quantum theory (81-XX) 228 Special functions (33-XX) 83 Nonassociative rings and algebras (17-XX) 68 Harmonic analysis on Euclidean spaces (42-XX) 57 Dynamical systems and ergodic theory (37-XX) 54 Relativity and gravitational theory (83-XX) 51 Difference and functional equations (39-XX) 41 Associative rings and algebras (16-XX) 36 Statistical mechanics, structure of matter (82-XX) 31 Global analysis, analysis on manifolds (58-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 28 Combinatorics (05-XX) 27 Ordinary differential equations (34-XX) 27 Partial differential equations (35-XX) 26 Number theory (11-XX) 23 Operator theory (47-XX) 20 Algebraic geometry (14-XX) 15 Topological groups, Lie groups (22-XX) 15 Functions of a complex variable (30-XX) 15 Numerical analysis (65-XX) 14 Approximations and expansions (41-XX) 13 Mechanics of particles and systems (70-XX) 11 Manifolds and cell complexes (57-XX) 9 Group theory and generalizations (20-XX) 9 Differential geometry (53-XX) 8 Probability theory and stochastic processes (60-XX) 7 Functional analysis (46-XX) 5 Commutative algebra (13-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Integral transforms, operational calculus (44-XX) 4 Statistics (62-XX) 3 Convex and discrete geometry (52-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 General algebraic systems (08-XX) 2 Integral equations (45-XX) 2 Information and communication theory, circuits (94-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year