Sarkissian, Gor A.; Spiridonov, Vyacheslav P. The endless beta integrals. (English) Zbl 1473.33009 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 074, 21 p. (2020). Reviewer: D. L. Suthar (Dessie) MSC: 33D60 33E20 PDFBibTeX XMLCite \textit{G. A. Sarkissian} and \textit{V. P. Spiridonov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 074, 21 p. (2020; Zbl 1473.33009) Full Text: DOI arXiv
Sarkissian, Gor A.; Spiridonov, Vyacheslav P. The modular group and a hyperbolic beta integral. (English. Russian original) Zbl 1441.11082 Russ. Math. Surv. 75, No. 3, 575-577 (2020); translation from Usp. Mat. Nauk 75, No. 3, 187-188 (2020). MSC: 11F03 33E20 PDFBibTeX XMLCite \textit{G. A. Sarkissian} and \textit{V. P. Spiridonov}, Russ. Math. Surv. 75, No. 3, 575--577 (2020; Zbl 1441.11082); translation from Usp. Mat. Nauk 75, No. 3, 187--188 (2020) Full Text: DOI
Magadov, Kamil Yu.; Spiridonov, Vyacheslav P. Matrix Bailey lemma and the star-triangle relation. (English) Zbl 1405.33027 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 121, 13 p. (2018). MSC: 33D60 33E20 PDFBibTeX XMLCite \textit{K. Yu. Magadov} and \textit{V. P. Spiridonov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 121, 13 p. (2018; Zbl 1405.33027) Full Text: DOI arXiv
Spiridonov, V. P. Rarefied elliptic hypergeometric functions. (English) Zbl 1480.33009 Adv. Math. 331, 830-873 (2018). MSC: 33E20 33C52 33D05 33E05 PDFBibTeX XMLCite \textit{V. P. Spiridonov}, Adv. Math. 331, 830--873 (2018; Zbl 1480.33009) Full Text: DOI arXiv
Spiridonov, Vyacheslav P. Modified elliptic gamma functions and 6d superconformal indices. (English) Zbl 1303.81195 Lett. Math. Phys. 104, No. 4, 397-414 (2014). MSC: 81T60 33E20 81T40 PDFBibTeX XMLCite \textit{V. P. Spiridonov}, Lett. Math. Phys. 104, No. 4, 397--414 (2014; Zbl 1303.81195) Full Text: DOI arXiv
Spiridonov, Vyacheslav P.; Vartanov, Grigory S. Superconformal indices of \({{\mathcal N}=4}\) SYM field theories. (English) Zbl 1243.81207 Lett. Math. Phys. 100, No. 1, 97-118 (2012). MSC: 81T60 33E20 81T13 PDFBibTeX XMLCite \textit{V. P. Spiridonov} and \textit{G. S. Vartanov}, Lett. Math. Phys. 100, No. 1, 97--118 (2012; Zbl 1243.81207) Full Text: DOI arXiv
Spiridonov, V. P. Elliptic hypergeometric terms. (English. French summary) Zbl 1295.33023 Di Vizio, Lucia (ed.) et al., Arithmetic and Galois theories of differential equations. Proceedings of the summer school, ‘Galoisian and arithmetic theory of differential equations’, CIRM, Luminy, France, September 21–25, 2009. Paris: Société Mathématique de France (ISBN 978-2-85629-331-7/pbk). Séminaires et Congrès 23, 325-345 (2011). MSC: 33E20 33E05 PDFBibTeX XMLCite \textit{V. P. Spiridonov}, Sémin. Congr. 23, 325--345 (2011; Zbl 1295.33023) Full Text: arXiv
Spiridonov, Vyacheslav P. A multiparameter summation formula for Riemann theta functions. (English) Zbl 1132.33340 Kuznetsov, Vadim B. (ed.) et al., Jack, Hall-Littlewood and Macdonald polynomials. Workshop on Jack, Hall-Littlewood and Macdonald polynomials, ICMS, Edinburgh, UK, September 23–26, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3683-8/pbk). Contemporary Mathematics 417, 345-353 (2006). MSC: 33E20 14K25 33D15 PDFBibTeX XMLCite \textit{V. P. Spiridonov}, Contemp. Math. 417, 345--353 (2006; Zbl 1132.33340) Full Text: arXiv
van Diejen, J. F.; Spiridonov, V. P. Elliptic beta integrals and modular hypergeometric sums: An overview. (English) Zbl 1040.33017 Rocky Mt. J. Math. 32, No. 2, 639-656 (2002). MSC: 33E20 33-02 33D15 33D52 33D45 PDFBibTeX XMLCite \textit{J. F. van Diejen} and \textit{V. P. Spiridonov}, Rocky Mt. J. Math. 32, No. 2, 639--656 (2002; Zbl 1040.33017) Full Text: DOI Link
Spiridonov, V. P. Theta hypergeometric series. (English) Zbl 1041.11032 Malyshev, V. A. (ed.) et al., Asymptotic combinatorics with application to mathematical physics. Proceedings of the NATO Advanced Study Institute, St. Petersburg, Russia, July 9–22, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-0792-2/hbk; 1-4020-0793-0/pbk). NATO Sci. Ser. II, Math. Phys. Chem. 77, 307-327 (2002). Reviewer: Luigi Gatteschi (Torino) MSC: 11F27 33C20 33C60 33E20 PDFBibTeX XMLCite \textit{V. P. Spiridonov}, NATO Sci. Ser. II, Math. Phys. Chem. 77, 307--327 (2002; Zbl 1041.11032) Full Text: arXiv