Congruences for consecutive coefficients of Gaussian polynomials with crank statistics

DOI10.37236/10493OpenAlexW4311098415MaRDI QIDQ2112576

Yanyan Li

Publication date: 11 January 2023

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

Full work available at URL: https://doi.org/10.37236/10493

zbMATH Keywords

Gaussian polynomialsarithmetic progressionscrank statistics

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Analytic theory of partitions (11P82)

Cites Work

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• Coefficients of Gaussian polynomials modulo \(N\)
• Distribution of the partition function modulo \(m\)
• Quasipolynomials and maximal coefficients of Gaussian polynomials
• Dyson’s crank of a partition
• On congruence properties of 𝑝(𝑛,𝑚)
• Some Properties of Partitions
• Cranks for partitions with bounded largest part

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