On overpartition pairs into odd parts modulo powers of 2

DOI10.1016/j.disc.2018.08.002zbMath1395.05017OpenAlexW2888092380WikidataQ129349030 ScholiaQ129349030MaRDI QIDQ1783630

Ranganatha Dasappa, Chandrashekar Adiga

Publication date: 21 September 2018

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2018.08.002

zbMATH Keywords

partitionscongruencesoverpartitions pairs

Mathematics Subject Classification ID

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

Related Items (4)

On eight colour partitions ⋮ On a problem on restricted k-colored partitions ⋮ On the Ramanujan-type function \(k(q) = \chi (q) \chi (-q^2)\) ⋮ On a problem on restricted \(k\)-colored partitions. II

Cites Work

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• Ramanujan-type congruences for overpartitions modulo 16
• Arithmetic properties of overpartition pairs into odd parts
• Congruences modulo 9 and 27 for overpartitions
• Overpartition pairs modulo powers of 2
• Congruences modulo 64 and 1024 for overpartitions
• New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions
• The power of \(q\). A personal journey
• Jagged partitions
• Arithmetic properties of overpartition pairs
• RANK AND CONGRUENCES FOR OVERPARTITION PAIRS
• Chapter 16 of Ramanujan’s second notebook: theta-functions and 𝑞-series
• Overpartitions

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