Q-stirling identities revisited

Yue Cai; Richard Ehrenborg; Margaret Readdy

doi:10.37236/6829

Q-stirling identities revisited

Mathematics

Producción científica: Article › revisión exhaustiva

9 Citas (Scopus)

Resumen

We give combinatorial proofs of q-Stirling identities using restricted growth words. This includes a poset theoretic proof of Carlitz’s identity, a new proof of the q-Frobenius identity of Garsia and Remmel and of Ehrenborg’s Hankel q-Stirling determinantal identity. We also develop a two parameter generalization to unify identities of Mercier and include a symmetric function version.

Idioma original	English
Publicación	Electronic Journal of Combinatorics
Volumen	25
N.º	1
DOI	https://doi.org/10.37236/6829
Estado	Published - feb 16 2018

Nota bibliográfica

Publisher Copyright:
© 2018, Australian National University. All rights reserved.

Financiación

Supported by the Simons Foundation (grant #206001) for two research visits to Princeton University to work with the second and third author. † Supported by NSA grant H98230-13-1-0280 and a grant from the Simons Foundation(#429370 to Richard Ehrenborg). ‡ Supported by grants from the Simons Foundation(#206001 and #422467 to Margaret Readdy). The authors thank Dennis Stanton for directing us to the pair of identities of Carlitz discussed in Section 9. The authors would also like to thank the Princeton University Mathematics Department for its hospitality and support. ∗Supported by the Simons Foundation (grant #206001) for two research visits to Princeton University to work with the second and third author. †Supported by NSA grant H98230-13-1-0280 and a grant from the Simons Foundation (#429370 to Richard Ehrenborg). ‡Supported by grants from the Simons Foundation (#206001 and #422467 to Margaret Readdy).

Financiadores	Número del financiador
NSA	H98230-13-1-0280
Princeton University
Simons Foundation	422467, 429370
Princeton University	206001
National Security Agency

ASJC Scopus subject areas

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics
Applied Mathematics

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Q-stirling identities revisited

Resumen

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ASJC Scopus subject areas

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