Titlebook: q-Series and Partitions; Dennis Stanton Conference proceedings 1989 Springer-Verlag New York Inc. 1989 Combinatorics.Partition.differentia

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Macdonald Conjectures and the Selberg Integral,ectures and describe the results obtained so far. A useful tool in this study is Selberg’s integral, a multivariate extension of the beta integral. We will also give the connections between Selberg’s integral and Macdonald’s conjectures, and explain some other extensions of Selberg’s integral.

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Conference proceedings 1989e 1987-88 IMA program on APPLIED COMBINATORICS. We are grateful to the Scientific Committee: Victor Klee (Chairman), Daniel Kleitman, Dijen Ray-Chaudhuri and Dennis Stanton for planning and implementing an exciting and stimulating year- long program. We especially thank the Workshop Organizer, Denni

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Some Macdonald-Mehta Integrals by Brute Force,erent generalizations of Mehta’s integral formula. The first generalization is in terms of finite Coxeter groups and depends on one parameter. The second generalization is in terms of root systems and the number of parameters in equal to the number of different root lengths. In the case of Weyl grou

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