Recurrence sequences connected with the \(m\)-ary partition function and their divisibility properties

DOI10.1016/j.jnt.2019.09.023zbMath1471.11040arXiv1710.04303OpenAlexW2981268182WikidataQ127016548 ScholiaQ127016548MaRDI QIDQ2308841

Błażej Żmija

Publication date: 3 April 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04303

zbMATH Keywords

congruencesrecurrence sequences\(m\)-ary partitions

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Recurrences (11B37) Sequences (mod (m)) (11B50)

Related Items (3)

A note on the restricted partition function \(p_{\mathcal{a}}(n, k)\) ⋮ Log-concavity of the restricted partition function \(p_{\mathcal{A}}(n, k)\) and the new Bessenrodt-Ono type inequality ⋮ An analysis of polynomial sequences and their application to discrete fractional operators

Uses Software

• AFS.txt

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(m\)-ary partitions with no gaps: a characterization modulo \(m\)
• Congruences on the number of restricted \(m\)-ary partitions
• Arithmetic properties of \(m\)-ary partitions without gaps
• The distribution of the number of parts of \(m\)-ary partitions modulo \(m\)
• Generalization of the Rödseth-Gupta theorem on binary partitions
• Congruence properties of the \(m\)-ary partition function
• Characterizing the Number of <em>m</em>-ary Partitions Modulo <em>m</em>
• Congruences for $m$-ary partitions.
• On \(m\)-ary partition function congruences: A fresh look at a past problem

This page was built for publication: Recurrence sequences connected with the \(m\)-ary partition function and their divisibility properties