Combinatorics of the zAB theorem

Dennis Stanton; Dennis White

doi:10.1016/0012-365X(90)90224-6

Combinatorics of the z^AB theorem

Dennis Stanton
, Dennis White

School of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We give a combinatorial proof that the coefficient of z^AB in a certain rational function is a sum of two binomial coefficients.

Original language	English (US)
Pages (from-to)	105-114
Number of pages	10
Journal	Discrete Mathematics
Volume	83
Issue number	1
DOIs	https://doi.org/10.1016/0012-365X(90)90224-6
State	Published - Jul 1 1990

Bibliographical note

Funding Information:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455. This work was partially supported by a fellowship from the Sloan Foundation, and by NSF grant DMS:8700995.

Funding Information:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455. This work was partially supported by NSF grant DMS:8501332.

Publisher link

10.1016/0012-365X(90)90224-6

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Cite this

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title = "Combinatorics of the zAB theorem",

abstract = "We give a combinatorial proof that the coefficient of zAB in a certain rational function is a sum of two binomial coefficients.",

author = "Dennis Stanton and Dennis White",

note = "Funding Information: School of Mathematics, University of Minnesota, Minneapolis, MN 55455. This work was partially supported by a fellowship from the Sloan Foundation, and by NSF grant DMS:8700995. Funding Information: School of Mathematics, University of Minnesota, Minneapolis, MN 55455. This work was partially supported by NSF grant DMS:8501332.",

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PY - 1990/7/1

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N2 - We give a combinatorial proof that the coefficient of zAB in a certain rational function is a sum of two binomial coefficients.

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