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Definite integral evaluation by enumeration, partial results in the MacDonald conjectures

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Book cover Combinatoire énumérative

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1234))

Partially supported by N.S.F. grant no. DMS-8404083

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References

  1. G. E. Andrews, “The Theory of Partitions”, Encyclopedia of Math., vol. 2, Addison-Wesley, Reading, Mass., 1976.

    MATH  Google Scholar 

  2. R. A. Askey, Some basic hypergeometric extensions of integrals of Andrews and Selberg, SIAM J. Math. Anal., 11(1980), 938–951.

    Article  MathSciNet  MATH  Google Scholar 

  3. R. Calderbank and P. Hanlon, An extension to root systems of a theorem on tournaments, preprint.

    Google Scholar 

  4. Roger Carter, “Simple Groups of Lie Type”, John Wiley and Sons, London, 1972.

    MATH  Google Scholar 

  5. F. J. Dyson, Statistical theory of the energy levels of complex systems. I, J. Math. Physics, 3(1962), 140–156.

    Article  MathSciNet  MATH  Google Scholar 

  6. J. Gunson, Proof of a conjecture by Dyson in the statistical theory of energy levels, J. Math. Physics, 3(1962), 752–753.

    Article  MathSciNet  MATH  Google Scholar 

  7. I. G. Macdonald, Some conjectures for root systems, SIAM J. Math. Anal., 13(1982), 988–1007.

    Article  MathSciNet  MATH  Google Scholar 

  8. A. Selberg, Bemerkninger om et Multipelt Integral, Norsk Mat. Tidsskr., 26(1944), 71–78.

    MathSciNet  Google Scholar 

  9. K. G. Wilson, Proof of a conjecture by Dyson, J. Math. Physics, 3(1962), 1040–1043.

    Article  MathSciNet  MATH  Google Scholar 

  10. D. Zeilberger, A combinatorial proof of Dyson's conjecture, Discrete Math., 41(1982), 317–332.

    Article  MathSciNet  MATH  Google Scholar 

  11. D. Zeilberger and D. Bressoud, A proof of Andrews' q-Dyson conjecture, Discrete Math., 54(1985), 201–224.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, The Pennsylvania State University, 16802, University Park, PA

    D. M. Bressoud

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  1. D. M. Bressoud
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Gilbert Labelle Pierre Leroux

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© 1986 Springer-Verlag

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Bressoud, D.M. (1986). Definite integral evaluation by enumeration, partial results in the MacDonald conjectures. In: Labelle, G., Leroux, P. (eds) Combinatoire énumérative. Lecture Notes in Mathematics, vol 1234. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072508

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  • DOI: https://doi.org/10.1007/BFb0072508

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17207-9

  • Online ISBN: 978-3-540-47402-9

  • eBook Packages: Springer Book Archive

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