Coefficients of Gaussian polynomials modulo \(N\)

DOI10.37236/7820zbMath1444.05008arXiv1801.00188OpenAlexW3103853013MaRDI QIDQ782934

Dylan Pentland

Publication date: 29 July 2020

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.00188

zbMATH Keywords

Lucas' theoremquasipolynomial

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10)

Related Items (1)

Congruences for consecutive coefficients of Gaussian polynomials with crank statistics

Cites Work

• Formulæ for the number of partitions of \(n\) into at most \(m\) parts (using the quasi-polynomial ansatz)
• On the asymptotics of Kronecker coefficients.
• Periodicities of partition functions and Stirling numbers modulo \(p\)
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