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The Macdonald conjecture could be one of several conjectures due to Macdonald (1982):

Macdonald's conjectures about Macdonald polynomials,
Macdonald's generalization of the Dyson conjecture,
Macdonald's generalization of the Mehta integral.

References
Macdonald, I. G. (1982), "Some conjectures for root systems", SIAM Journal on Mathematical Analysis, 13 (6): 988–1007, doi:10.1137/0513070, ISSN 0036-1410, MR 0674768

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