Linear algebra and congruences for MacMahon's \(k\)-rowed plane partitions

DOI10.1142/S1793042124500702MaRDI QIDQ6554585

Shi-Chao Chen

Publication date: 12 June 2024

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

zbMATH Keywords

congruenceslinear algebraplane partitionspartitions at most \(m\) parts

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83)

Cites Work

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• The distribution of values of the partition function in residue classes
• Plane partitions. IV: A conjecture of Mills-Robbins-Rumsey
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• Arithmetic properties of the partition function
• Combinatory analysis. Vol. 2.
• Plane partitions. VI: Stembridge's TSPP theorem
• Note on a paper of Cheema and Gordon
• Some remarks on two- and three-line partitions
• Using periodicity to obtain partition congruences
• A periodic approach to plane partition congruences
• Plane partitions in the work of Richard Stanley and his school
• MacMahon's partition analysis XII: Plane partitions
• Some Congruences for k Line Partitions of a Number
• Theory and Application of Plane Partitions. Part 2

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