q-generalization of a ballot problem
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C. Krattenthaler; S.G. Mohanty
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Article
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1994
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Elsevier Science
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English
β 721 KB
n-dimensional lattice paths which do not touch the hyperplanes xi-xi + I = -1, i = 1,2, , n -1, and x,-x1 = -1 -K arc enumerated by certain statistics, one of which is MacMahon's major index, the others being variations of it. By a reflection-like proof, a formula involving determinants is obtained.