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arXiv · 1910.11286

Sequences, q-Multinomial Identities, Integer Partitions with Kinds, and Generalized Galois Numbers

Adrian Avalos·Mark Bly
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Abstract

Using sequences of finite length with positive integer elements and the inversion statistic on such sequences, a collection of binomial and multinomial identities are extended to their $q$-analog form via combinatorial proofs. Using the major index statistic on sequences, a connection between integer partitions with kinds and finite differences of the coefficients of generalized Galois numbers is established.

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BibTeXRIS

Adrian Avalos, Mark Bly. 2020-05-14. Sequences, q-Multinomial Identities, Integer Partitions with Kinds, and Generalized Galois Numbers. https://arxiv.org/abs/1910.11286

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