On \(m\)-ary partition function congruences: A fresh look at a past problem

DOI10.1006/jnth.2000.2594zbMath0997.11083OpenAlexW2101694207MaRDI QIDQ5931320

Øystein J. Rødseth

Publication date: 24 April 2001

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

Full work available at URL: https://doi.org/10.1006/jnth.2000.2594

zbMATH Keywords

congruencesChurchhouse conjecturenumber of partitionspartitions in powers of integers

Mathematics Subject Classification ID

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

Related Items (14)

On a general class of non-squashing partitions ⋮ A note on the restricted partition function \(p_{\mathcal{a}}(n, k)\) ⋮ The stair-step approach in mathematics ⋮ Arithmetic properties of \(m\)-ary partitions without gaps ⋮ On the enumeration and congruences for \(m\)-ary partitions ⋮ Log-concavity of the restricted partition function \(p_{\mathcal{A}}(n, k)\) and the new Bessenrodt-Ono type inequality ⋮ Congruence properties of binary partition functions ⋮ On \(p\)-adic valuations of colored \(p\)-ary partitions ⋮ On a restricted \(m\)-ary partition function. ⋮ Congruences on the number of restricted \(m\)-ary partitions ⋮ Recurrence sequences connected with the \(m\)-ary partition function and their divisibility properties ⋮ Unnamed Item ⋮ PARTITIONS WITH PARTS IN A FINITE SET ⋮ Binary partitions revisited

Cites Work

• Congruence properties of the \(m\)-ary partition function
• Congruences for $m$-ary partitions.
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