On arithmetic properties of binary partition polynomials

DOI10.1016/j.aam.2019.07.001zbMath1421.05014OpenAlexW2957034364WikidataQ127529834 ScholiaQ127529834MaRDI QIDQ2326907

Maciej Ulas, Błażej Żmija

Publication date: 10 October 2019

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2019.07.001

zbMATH Keywords

recurrence relationbinary partitionspartition polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Polynomials in number theory (11C08) Elementary theory of partitions (11P81)

Related Items (3)

Log-concavity of the restricted partition function \(p_{\mathcal{A}}(n, k)\) and the new Bessenrodt-Ono type inequality ⋮ Sign behaviour of sums of weighted numbers of partitions ⋮ Unusual class of polynomials related to partitions

Uses Software

• OEIS

Cites Work

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• Arithmetic properties of coefficients of power series expansion of \(\prod _{n=0}^{\infty }\left( 1-x^{2^{n}}\right) ^{t}\) (with an appendix by Andrzej Schinzel)
• Algorithmic approach to counting of certain types \(m\)-ary partitions.
• An interesting way to partition a number
• \(s\)-partitions.
• Generalization of the Rödseth-Gupta theorem on binary partitions
• Mahler functions and transcendence
• Stern polynomials
• Suites algébriques, automates et substitutions
• Automatic Sequences

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