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Volumn 2, Issue 3, 1998, Pages 327-349

A higher level bailey lemma: Proof and application

Author keywords

Bailey's lemma; Q series; Rogers ramanujan identities

Indexed keywords


EID: 0007261678     PISSN: 13824090     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009746932284     Document Type: Article
Times cited : (19)

References (15)
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  • 3
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    • G.E. Andrews, "A generalization of the Göllnitz-Gordon partition theorems," Proc. Amer. Math. Soc. 1(1967), 954-952.
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  • 4
    • 0016272054 scopus 로고
    • An analytic generalization of the Rogers-Ramanujan identities for odd moduli
    • G.E. Andrews, "An analytic generalization of the Rogers-Ramanujan identities for odd moduli," Proc. Nat. Acad. Sci. (USA) 71 (1974), 4082-4085.
    • (1974) Proc. Nat. Acad. Sci. (USA) , vol.71 , pp. 4082-4085
    • Andrews, G.E.1
  • 5
    • 0000068191 scopus 로고
    • Problems and prospects for basic hypergeometric functions
    • (R. Askey, ed.), Academic Press, New York
    • G.E. Andrews, "Problems and prospects for basic hypergeometric functions," in The Theory and Applications of Special Functions (R. Askey, ed.), Academic Press, New York, 1975, pp. 191-224.
    • (1975) The Theory and Applications of Special Functions , pp. 191-224
    • Andrews, G.E.1
  • 6
    • 0003341319 scopus 로고
    • The theory of partitions
    • Addison-Wesley, Reading, MA
    • G.E. Andrews, "The theory of partitions," Encyclopedia of Mathematics, Vol. 2, Addison-Wesley, Reading, MA, 1976.
    • (1976) Encyclopedia of Mathematics , vol.2
    • Andrews, G.E.1
  • 7
    • 84972580044 scopus 로고
    • Multiple series Rogers-Ramanujan type identities
    • G.E. Andrews, "Multiple series Rogers-Ramanujan type identities," Pacific J. Math. 114 (1984), 267-283.
    • (1984) Pacific J. Math. , vol.114 , pp. 267-283
    • Andrews, G.E.1
  • 8
    • 84960575615 scopus 로고
    • Identities of the Rogers-Ramanujan type
    • W.N. Bailey, "Identities of the Rogers-Ramanujan type," Proc. London Math. Soc. 5(2) (1949), 1-10.
    • (1949) Proc. London Math. Soc. , vol.5 , Issue.2 , pp. 1-10
    • Bailey, W.N.1
  • 9
    • 3943106507 scopus 로고
    • Fermionic counting of RSOS-states and Virasoro character formulas for the unitary minimal series M(ν, ν + 1). Exact results
    • A. Berkovich, "Fermionic counting of RSOS-states and Virasoro character formulas for the unitary minimal series M(ν, ν + 1). Exact results," Nucl. Phys. B 431 (1994), 315-348.
    • (1994) Nucl. Phys. B , vol.431 , pp. 315-348
    • Berkovich, A.1
  • 10
    • 0002195290 scopus 로고    scopus 로고
    • Continued fractions and fermionic representations for characters of M (p, p′) minimal models
    • A. Berkovich and B.M. McCoy, "Continued fractions and fermionic representations for characters of M (p, p′) minimal models," Lett. Math. Phys. 3(1996), 49-66.
    • (1996) Lett. Math. Phys. , vol.3 , pp. 49-66
    • Berkovich, A.1    McCoy, B.M.2
  • 11
    • 0039270718 scopus 로고    scopus 로고
    • Polynomial identities, indices, and duality for the N = 1superconformal model S M(2, 4ν)
    • A. Berkovich, B.M. McCoy, and W.P. Orrick, "Polynomial identities, indices, and duality for the N = 1superconformal model S M(2, 4ν)," J. Stat. Phys. 83 (1996), 795-837.
    • (1996) J. Stat. Phys. , vol.83 , pp. 795-837
    • Berkovich, A.1    McCoy, B.M.2    Orrick, W.P.3
  • 12
    • 85047673988 scopus 로고    scopus 로고
    • N = 2 supersymmetry and Bailey pairs
    • A. Berkovich, B.M. McCoy, and A. Schilling, "N = 2 supersymmetry and Bailey pairs," Physica A 228 (1996), 33-62.
    • (1996) Physica A , vol.228 , pp. 33-62
    • Berkovich, A.1    McCoy, B.M.2    Schilling, A.3
  • 13
    • 0000114390 scopus 로고    scopus 로고
    • Rogers-Schur-Ramanujan type identities for the M (p, p′) minimal models of conformal field theory
    • A. Berkovich, B.M. McCoy, and A. Schilling, "Rogers-Schur-Ramanujan type identities for the M (p, p′) minimal models of conformal field theory," Commun. Math. Phys. 191 (1998), 325-395.
    • (1998) Commun. Math. Phys. , vol.191 , pp. 325-395
    • Berkovich, A.1    McCoy, B.M.2    Schilling, A.3
  • 15
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    • A generalization of the Rogers-Ramanujan identities for all moduli
    • D.M. Bressoud, "A generalization of the Rogers-Ramanujan identities for all moduli," J. Combin. Theory Ser. A 27 (1979), 64-68.
    • (1979) J. Combin. Theory Ser. A , vol.27 , pp. 64-68
    • Bressoud, D.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.