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Volumn 10, Issue 2, 2005, Pages 187-204

Unit circle elliptic beta integrals

Author keywords

Beta integrals; Elliptic gamma functions; Elliptic hypergeometric integrals

Indexed keywords


EID: 29244458380     PISSN: 13824090     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11139-005-4846-x     Document Type: Conference Paper
Times cited : (32)

References (33)
  • 2
    • 0000457764 scopus 로고
    • On the theory of the multiple gamma function
    • E.W. Barnes, "On the theory of the multiple gamma function," Trans. Cambridge Phil. Soc. 19 (1904), 374-425.
    • (1904) Trans. Cambridge Phil. Soc. , vol.19 , pp. 374-425
    • Barnes, E.W.1
  • 3
    • 0034348688 scopus 로고    scopus 로고
    • An elliptic Macdonald-Morris conjecture and multiple modular hypergeometric sums
    • J.F. van Diejen and V.P. Spiridonov, "An elliptic Macdonald-Morris conjecture and multiple modular hypergeometric sums," Math. Res. Letters 7 (2000), 729-746.
    • (2000) Math. Res. Letters , vol.7 , pp. 729-746
    • Van Diejen, J.F.1    Spiridonov, V.P.2
  • 5
    • 0000780056 scopus 로고
    • Discrete Heisenberg-Weyl group and modular group
    • L.D. Faddeev, "Discrete Heisenberg-Weyl group and modular group," Lett. Math. Phys. 34 (1995), 249-254;
    • (1995) Lett. Math. Phys. , vol.34 , pp. 249-254
    • Faddeev, L.D.1
  • 6
    • 0038345715 scopus 로고    scopus 로고
    • Modular double of a quantum group
    • Conf. Moshé Flato 1999, Kluwer, Dordrecht
    • "Modular double of a quantum group," Conf. Moshé Flato 1999, vol. I, Math. Phys. Stud. 21, Kluwer, Dordrecht, 2000, pp. 149-156.
    • (2000) Math. Phys. Stud. , vol.1-21 , pp. 149-156
  • 7
    • 0000561791 scopus 로고    scopus 로고
    • Strongly coupled quantum discrete Liouville Theory. I: Algebraic approach and duality
    • L.D. Faddeev, R.M. Kashaev, and A.Yu. Volkov, "Strongly coupled quantum discrete Liouville Theory. I: Algebraic approach and duality," Commun. Math. Phys. 219 (2001), 199-219.
    • (2001) Commun. Math. Phys. , vol.219 , pp. 199-219
    • Faddeev, L.D.1    Kashaev, R.M.2    Volkov, A.Y.3
  • 9
    • 84968507727 scopus 로고
    • A generalization of Selberg's beta integral
    • R.A. Gustafson, "A generalization of Selberg's beta integral," Bull. Am. Math. Soc., New Ser. 22 (1990), 97-105.
    • (1990) Bull. Am. Math. Soc., New Ser. , vol.22 , pp. 97-105
    • Gustafson, R.A.1
  • 10
    • 3843137762 scopus 로고
    • Some q-beta integrals on SU(n) and Sp(n) that generalize the Askey-Wilson and Nassrallah-Rahman integrals
    • R.A. Gustafson, "Some q-beta integrals on SU(n) and Sp(n) that generalize the Askey-Wilson and Nassrallah-Rahman integrals," SIAM J. Math. Anal. 25 (1994), 441-449.
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 441-449
    • Gustafson, R.A.1
  • 11
    • 0001280742 scopus 로고
    • The basic gamma-function and the elliptic functions,"
    • F.H. Jackson, "The basic gamma-function and the elliptic functions," Proc. Roy. Soc. London A76 (1905), 127-144.
    • (1905) Proc. Roy. Soc. London , vol.A76 , pp. 127-144
    • Jackson, F.H.1
  • 12
    • 0009803410 scopus 로고    scopus 로고
    • Quantum KZ equation with |q| 1 and correlation functions of the XXZ model in the gapless regime
    • M. Jimbo and T. Miwa, "Quantum KZ equation with |q| 1 and correlation functions of the XXZ model in the gapless regime," J. Phys. A: Math. Gen. 29 (1996), 2923-2958.
    • (1996) J. Phys. A: Math. Gen. , vol.29 , pp. 2923-2958
    • Jimbo, M.1    Miwa, T.2
  • 14
    • 0002340546 scopus 로고
    • Multiple sine functions and Selberg zeta functions
    • N. Kurokawa, "Multiple sine functions and Selberg zeta functions," Proc. Japan Acad. 67 A (1991), 61-64.
    • (1991) Proc. Japan Acad. , vol.67 A , pp. 61-64
    • Kurokawa, N.1
  • 15
    • 0002474619 scopus 로고
    • Lectures on zeta functions and motives (according to Deninger and Kurokawa)
    • Yu. Manin, "Lectures on zeta functions and motives (according to Deninger and Kurokawa)," Astérisque 228(4) (1995), 121-163.
    • (1995) Astérisque , vol.228 , Issue.4 , pp. 121-163
    • Manin, Yu.1
  • 18
    • 0000946162 scopus 로고
    • 10φ9 rational functions
    • 10φ9 rational functions," Can. J. Math. 38 (1986), 605-618.
    • (1986) Can. J. Math. , vol.38 , pp. 605-618
    • Rahman, M.1
  • 20
    • 0031540338 scopus 로고    scopus 로고
    • First order analytic difference equations and integrable quantum systems
    • S.N.M. Ruijsenaars, "First order analytic difference equations and integrable quantum systems," J. Math. Phys. 38(1997), 1069-1146.
    • (1997) J. Math. Phys. , vol.38 , pp. 1069-1146
    • Ruijsenaars, S.N.M.1
  • 21
    • 0033517395 scopus 로고    scopus 로고
    • Generalized hypergeometric function satisfying four analytic difference equations of Askey-Wilson type
    • S.N.M. Ruijsenaars, "Generalized hypergeometric function satisfying four analytic difference equations of Askey-Wilson type," Commun. Math. Phys. 206 (1999), 639-690.
    • (1999) Commun. Math. Phys. , vol.206 , pp. 639-690
    • Ruijsenaars, S.N.M.1
  • 22
    • 0346308634 scopus 로고    scopus 로고
    • A generalized hypergeometric function III. Associated Hilbert space transform
    • S.N.M. Ruijsenaars, "A generalized hypergeometric function III. Associated Hilbert space transform," Commun. Math. Phys. 243 (2003), 413-448.
    • (2003) Commun. Math. Phys. , vol.243 , pp. 413-448
    • Ruijsenaars, S.N.M.1
  • 23
    • 0000404523 scopus 로고
    • On a Kronecker limit formula for real quadratic field
    • T. Shintani, 'On a Kronecker limit formula for real quadratic field," J. Fac. Sci. Univ. Tokyo 24 (1977), 167-199.
    • (1977) J. Fac. Sci. Univ. Tokyo , vol.24 , pp. 167-199
    • Shintani, T.1
  • 25
    • 0035599384 scopus 로고    scopus 로고
    • On the elliptic beta function
    • "On the elliptic beta function," Russ. Math. Surveys 56(1) (2001), 185-186.
    • (2001) Russ. Math. Surveys , vol.56 , Issue.1 , pp. 185-186
  • 26
    • 3843146673 scopus 로고    scopus 로고
    • Theta hypergeometric integrals
    • V.P. Spiridonov, "Theta hypergeometric integrals," Algrbra i Analiz 15 (2003), 161-215
    • (2003) Algrbra i Analiz , vol.15 , pp. 161-215
    • Spiridonov, V.P.1
  • 28
    • 3843098255 scopus 로고    scopus 로고
    • A Bailey tree for integrals
    • V.P. Spiridonov, "A Bailey tree for integrals," Theor, Math. Phys. 139 (2004), 536-541.
    • (2004) Theor, Math. Phys. , vol.139 , pp. 536-541
    • Spiridonov, V.P.1
  • 29
    • 6444239366 scopus 로고    scopus 로고
    • Hyperbolic beta integrals
    • J.V. Stokman, "Hyperbolic beta integrals," Adv. Math. 190 (2004), 119-160.
    • (2004) Adv. Math. , vol.190 , pp. 119-160
    • Stokman, J.V.1
  • 30
    • 0141697137 scopus 로고    scopus 로고
    • The q-twisted cohomology and the q-hypergeometric function at |q| = 1
    • Y. Takeyama, "The q-twisted cohomology and the q-hypergeometric function at |q| = 1," Publ. Res. Inst. Math. Sci. 37 (2001)(1), 71-89.
    • (2001) Publ. Res. Inst. Math. Sci. , vol.37 , Issue.1 , pp. 71-89
    • Takeyama, Y.1
  • 32
    • 33845759276 scopus 로고    scopus 로고
    • Short proofs of the elliptic beta integrals
    • to appear (preprint math. CA/0408369)
    • V.P. Spiridonov, "Short proofs of the elliptic beta integrals," Ramanujan J., to appear (preprint math. CA/0408369).
    • Ramanujan J.
    • Spiridonov, V.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.