Using periodicity to obtain partition congruences

DOI10.1016/j.jnt.2017.02.011zbMath1418.11141arXiv1609.03633OpenAlexW2550525916MaRDI QIDQ2628032

Ali H. Al-Saedi

Publication date: 9 June 2017

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

Full work available at URL: https://arxiv.org/abs/1609.03633

zbMATH Keywords

partitionsperiodicityplane partitionsoverpartitionsplane overpartitions

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83)

Related Items (1)

Congruences for restricted plane overpartitions modulo 4 and 8

Cites Work

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• Dyson's ranks and Maass forms
• Periodicities of partition functions and Stirling numbers modulo \(p\)
• Periodicities of a class of infinite integer sequences modulo M
• Distribution of the partition function modulo \(m\)
• A periodic approach to plane partition congruences
• Periodicity Modulo m and Divisibility Properties of the Partition Function
• RANK DIFFERENCES FOR OVERPARTITIONS
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• Overpartitions
• RAMANUJAN'S CONGRUENCES FOR THE PARTITION FUNCTION MODULO 5, 7, AND 11
• The Shifted Schur Process and Asymptotics of Large Random Strict Plane Partitions
• Some Congruences for k Line Partitions of a Number
• Some Properties of Partitions
• Ramanujan's Lost Notebook

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