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Volumn 3, Issue , 1997, Pages 54-102

Proof of a determinant evaluation conjectured by Bombieri, Hunt and van der Poorten

Author keywords

Binomials; Determinant; Hypergeometric series

Indexed keywords


EID: 0002518124     PISSN: 10769803     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (19)
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  • 4
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    • Gessel, I.M.1    Viennot, X.2
  • 5
    • 0042784808 scopus 로고    scopus 로고
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    • I. P. Goulden and D. M. Jackson, Further determinants with the averaging property of Andrews-Burge, J. Combin. Theory Ser. A 73 (1996), 368-375.
    • (1996) J. Combin. Theory Ser. A , vol.73 , pp. 368-375
    • Goulden, I.P.1    Jackson, D.M.2
  • 7
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    • Generating functions for plane partitions of a given shape
    • C. Krattenthaler, Generating functions for plane partitions of a given shape, Manuscripta Math. 69 (1990), 173-202.
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    • Krattenthaler, C.1
  • 8
    • 0000663534 scopus 로고
    • HYP and HYPQ - Mathematica packages for the manipulation of binomial sums and hypergeometric series respectively q-binomial sums and basic hypergeometric series
    • C. Krattenthaler, HYP and HYPQ - Mathematica packages for the manipulation of binomial sums and hypergeometric series respectively q-binomial sums and basic hypergeometric series, J. Symbol. Comput. 20 (1995), 737-744.
    • (1995) J. Symbol. Comput. , vol.20 , pp. 737-744
    • Krattenthaler, C.1
  • 9
    • 0001411443 scopus 로고    scopus 로고
    • Some q-analogues of determinant identities which arose in plane partition enumeration
    • paper B36e, 23 pp
    • C. Krattenthaler, Some q-analogues of determinant identities which arose in plane partition enumeration, Séminaire Lotharingien Combin. 36 (1996), paper B36e, 23 pp.
    • (1996) Séminaire Lotharingien Combin. , vol.36
    • Krattenthaler, C.1
  • 12
    • 3042538345 scopus 로고    scopus 로고
    • Determinant identities and a generalization of the number of totally symmetric self-complementary plane partitions
    • to appear
    • C. Krattenthaler, Determinant identities and a generalization of the number of totally symmetric self-complementary plane partitions, Elect. J. Combin. (to appear).
    • Elect. J. Combin.
    • Krattenthaler, C.1
  • 15
    • 0001169022 scopus 로고
    • An algorithmic proof theory for hypergeometric (ordinary and "q") multisum/integral identities
    • H. S. Wilf and D. Zeilberger, An algorithmic proof theory for hypergeometric (ordinary and "q") multisum/integral identities, Invent. Math. 108 (1992), 575-633.
    • (1992) Invent. Math. , vol.108 , pp. 575-633
    • Wilf, H.S.1    Zeilberger, D.2
  • 16
    • 0002128111 scopus 로고
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    • Zeilberger, D.1
  • 17
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  • 18
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    • The method of creative telescoping
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  • 19
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    • Zeilberger, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.