Elementary proofs of infinitely many congruences for \(k\)-elongated partition diamonds

DOI10.1016/j.disc.2022.113021OpenAlexW4281991632WikidataQ113877017 ScholiaQ113877017MaRDI QIDQ2166280

Robson da Silva, James A. Sellers, Michael D. Hirschhorn

Publication date: 24 August 2022

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

Full work available at URL: https://arxiv.org/abs/2112.06328

zbMATH Keywords

partitionsgenerating functionscongruences\(k\)-elongated diamonds

Mathematics Subject Classification ID

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

Related Items (2)

Congruences for k-elongated plane partition diamonds ⋮ On the divisibility of 7-elongated plane partition diamonds by powers of 8

Cites Work

• MacMahon's partition analysis XIII: Schmidt type partitions and modular forms
• A congruence family for 2-elongated plane partitions: an application of the localization method
• Congruences related to an eighth order mock theta function of Gordon and McIntosh
• The power of \(q\). A personal journey
• MacMahon's partition analysis XI: Broken diamonds and modular forms
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