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MR1953570 (2004k:11025) 11B75 (05A10 68R15)
Simpson, R. J.; Tijdeman, R. Multi-dimensional versions of a theorem of Fine and Wilf and a formula of Sylvester. Proc. Amer. Math. Soc. 131 (2003), no. 6, 1661–1671.
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