Arithmetic properties of \(m\)-ary partitions without gaps

DOI10.1007/S00026-017-0369-6zbMath1376.05010OpenAlexW2754452706MaRDI QIDQ1682611

Øystein J. Rødseth, James A. Sellers, George E. Andrews, Eduardo H. M. Brietzke

Publication date: 30 November 2017

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-017-0369-6

zbMATH Keywords

congruences\(m\)-ary partitionsunique path partitions

Mathematics Subject Classification ID

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

Related Items (4)

The stair-step approach in mathematics ⋮ On the enumeration and congruences for \(m\)-ary partitions ⋮ Congruences on the number of restricted \(m\)-ary partitions ⋮ Recurrence sequences connected with the \(m\)-ary partition function and their divisibility properties

Cites Work

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• \(m\)-ary partitions with no gaps: a characterization modulo \(m\)
• Sign conjugacy classes in symmetric groups.
• Congruences for a restricted \(m\)-ary partition function
• Binary partitions revisited
• On non-squashing partitions
• Unique path partitions: characterization and congruences
• Congruence properties of the \(m\)-ary partition function
• On \(m\)-ary partition function congruences: A fresh look at a past problem

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