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Volumn 189, Issue 2, 2004, Pages 247-267

The modular properties and the integral representations of the multiple elliptic gamma functions

Author keywords

Generalized q polylogarithm; Modular property; Multiple elliptic gamma function; Multiple sine function; q Shifted factorial

Indexed keywords


EID: 8344258292     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aim.2003.11.009     Document Type: Article
Times cited : (86)

References (12)
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    • Barnes, E.W.1
  • 4
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    • Jimbo M. Miwa T. Quantum KZ equation with q = 1 and correlation functions of the XXZ model in the gapless regime J. Phys. A 29 1996 2923-2958
    • (1996) J. Phys. A , vol.29 , pp. 2923-2958
    • Jimbo, M.1    Miwa, T.2
  • 7
    • 0002340546 scopus 로고
    • Multiple sine functions and Selberg zeta functions
    • Kurokawa N. Multiple sine functions and Selberg zeta functions Proc. Japan Acad. A 67 1991 61-64
    • (1991) Proc. Japan Acad. A , vol.67 , pp. 61-64
    • Kurokawa, N.1
  • 8
    • 0242350396 scopus 로고    scopus 로고
    • Multiple sine functions
    • Kurokawa N. Koyama S. Multiple sine functions Forum Math. 15 2003 839-876
    • (2003) Forum Math. , vol.15 , pp. 839-876
    • Kurokawa, N.1    Koyama, S.2
  • 9
    • 0035860669 scopus 로고    scopus 로고
    • An elliptic analogue of the multiple gamma function
    • Nishizawa M. An elliptic analogue of the multiple gamma function J. Phys. A: Math. Gen. 34 2001 7411-7421
    • (2001) J. Phys. A: Math. Gen. , vol.34 , pp. 7411-7421
    • Nishizawa, M.1
  • 10
    • 0031540338 scopus 로고    scopus 로고
    • First order difference equations and integrable quantum systems
    • Ruijsenaars S.N.M. First order 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
  • 11
    • 0034357401 scopus 로고    scopus 로고
    • On Barnes' multiple zeta and gamma functions
    • Ruijsenaars S.N.M. On Barnes' multiple zeta and gamma functions Adv. Math. 156 1 2000 107-132
    • (2000) Adv. Math. , vol.156 , Issue.1 , pp. 107-132
    • Ruijsenaars, S.N.M.1
  • 12
    • 0000404523 scopus 로고
    • On a Kronecker limit formula for real quadratic fields
    • Shintani T. On a Kronecker limit formula for real quadratic fields J. Fac. Sci. Univ. Tokyo 24 1977 167-199
    • (1977) J. Fac. Sci. Univ. Tokyo , vol.24 , pp. 167-199
    • Shintani, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.