The combinatorics of the Garsia-Haiman modules for hook shapes.
Adin, Ron M., Remmel, Jeffrey B., Roichman, Yuval (2008)
The Electronic Journal of Combinatorics [electronic only]
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Adin, Ron M., Remmel, Jeffrey B., Roichman, Yuval (2008)
The Electronic Journal of Combinatorics [electronic only]
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Firro, Ghassan, Mansour, Toufik, Wilson, Mark C. (2007)
The Electronic Journal of Combinatorics [electronic only]
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Toufik Mansour, Mark Shattuck (2012)
Open Mathematics
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In this paper, a direct combinatorial proof is given of a result on permutation pairs originally due to Carlitz, Scoville, and Vaughan and later extended. It concerns showing that the series expansion of the reciprocal of a certain multiply exponential generating function has positive integer coefficients. The arguments may then be applied to related problems, one of which concerns the reciprocal of the exponential series for Fibonacci numbers.
Henry McKean (2011)
Open Mathematics
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The article provides with a down to earth exposition of the Fredholm theory with applications to Brownian motion and KdV equation.
Björner, Anders, Brenti, Francesco (1996)
The Electronic Journal of Combinatorics [electronic only]
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Járai, Antal A., Kesten, Harry (2004)
Electronic Communications in Probability [electronic only]
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Melnikov, Anna (2005)
The Electronic Journal of Combinatorics [electronic only]
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Novick, Mordechai (2010)
The Electronic Journal of Combinatorics [electronic only]
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Bernstein, Dan (2004)
The Electronic Journal of Combinatorics [electronic only]
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Chow, Chak-On (2008)
The Electronic Journal of Combinatorics [electronic only]
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Garsia, A.M., Goupil, A. (2009)
The Electronic Journal of Combinatorics [electronic only]
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Giné, Evarist, Götze, Friedrich (2004)
Electronic Communications in Probability [electronic only]
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Eichelsbacher, Peter, König, Wolfgang (2008)
Electronic Journal of Probability [electronic only]
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