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Volumn 2, Issue , 1996, Pages 59-68

Proof of the refined alternating sign matrix conjecture

Author keywords

Alternating sign matrices; Enumeration; Exactly solvable models; Izergin Korepin formula; Orthogonal polynomials; q analysis; q Legendre polynomials; Square ice

Indexed keywords


EID: 0001972430     PISSN: 10769803     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (96)

References (13)
  • 1
    • 0001683859 scopus 로고
    • Classical orthogonal polynomials
    • (Bar-Le-Duc) (C. Brezinski et. al, eds.), Lecture Notes in Mathematics, Springer-Verlag, Berlin
    • [AA] G. E. Andrews, and R. Askey, Classical orthogonal polynomials, Polynômes Orthogonaux et Applications (Bar-Le-Duc, 1984) (C. Brezinski et. al, eds.), Lecture Notes in Mathematics, no. 1171, Springer-Verlag, Berlin, 1985, pp. 36-62.
    • (1984) Polynômes Orthogonaux et Applications , vol.1171 , pp. 36-62
    • Andrews, G.E.1    Askey, R.2
  • 2
    • 0001308382 scopus 로고
    • Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
    • Amer. Math. Soc., Providence
    • [AW] R. Askey and J. Wilson, Some Basic Hypergeometric Orthogonal Polynomials that Generalize Jacobi Polynomials, Memoirs of the Amer. Math. Soc., no. 319, Amer. Math. Soc., Providence, 1985.
    • (1985) Memoirs of the Amer. Math. Soc. , vol.319
    • Askey, R.1    Wilson, J.2
  • 3
    • 3042668137 scopus 로고
    • Fractions continuees et polynômes orthogonaux dans l'oeuvre de E. N. Laguerre
    • (Bar-Le-Duc) (C. Brezinski et. al, eds.), Lecture Notes in Mathematics, Springer-Verlag, Berlin
    • [D] J. Dieudonné, Fractions continuees et polynômes orthogonaux dans l'oeuvre de E. N. Laguerre, Polynômes Orthogonaux et Applications (Bar-Le-Duc, 1984) (C. Brezinski et. al, eds.), Lecture Notes in Mathematics, no. 1171, Springer-Verlag, Berlin, 1985, pp. 1-15.
    • (1984) Polynômes Orthogonaux et Applications , vol.1171 , pp. 1-15
    • Dieudonné, J.1
  • 6
    • 1842529920 scopus 로고    scopus 로고
    • Another proof of the alternating sign matrix conjecture
    • [K] Greg Kuperberg, Another proof of the alternating sign matrix conjecture, Inter. Math. Res. Notes (1996), 139-150. http://www.math.yale.edu/ users/greg.
    • (1996) Inter. Math. Res. Notes , pp. 139-150
    • Kuperberg, G.1
  • 7
    • 0038284467 scopus 로고
    • Proof of the Macdonald conjecture
    • [MRR1] W. H. Mills, D. P. Robbins, and H. Rumsey, Proof of the Macdonald conjecture, Invent. Math. 66 (1982), 73-87.
    • (1982) Invent. Math. , vol.66 , pp. 73-87
    • Mills, W.H.1    Robbins, D.P.2    Rumsey, H.3
  • 8
    • 48749144424 scopus 로고
    • Alternating sign matrices and descending plane partitions
    • [MRR2] W. H. Mills, D. P. Robbins, and H. Rumsey, Alternating sign matrices and descending plane partitions, J. Combin. Theo. Ser. A 34 (1983), 340-359.
    • (1983) J. Combin. Theo. Ser. A , vol.34 , pp. 340-359
    • Mills, W.H.1    Robbins, D.P.2    Rumsey, H.3
  • 10
    • 0040771284 scopus 로고
    • A baker's dozen of conjectures concerning plane partitions
    • (G. Labelle and P. Leroux, eds.), Lecture Notes in Mathematics, Springer-Verlag, Berlin
    • [S] R. P. Stanley, A baker's dozen of conjectures concerning plane partitions, Combinatoire Enumerative (G. Labelle and P. Leroux, eds.), Lecture Notes in Mathematics, no. 1234, Springer-Verlag, Berlin, 1986.
    • (1986) Combinatoire Enumerative , vol.1234
    • Stanley, R.P.1
  • 13
    • 13744263836 scopus 로고    scopus 로고
    • Proof of the alternating sign matrix conjecture
    • [Z] D. Zeilberger, Proof of the alternating sign matrix conjecture, Electronic J. of Combinatorics 3(2) (1996).
    • (1996) Electronic J. of Combinatorics , vol.3 , Issue.2
    • Zeilberger, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.