On the divisibility of 7-elongated plane partition diamonds by powers of 8

DOI10.1142/s1793042124500131arXiv2207.06712MaRDI QIDQ6186054

James A. Sellers, Nicolas Allen Smoot

Publication date: 9 January 2024

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

Full work available at URL: https://arxiv.org/abs/2207.06712

zbMATH Keywords

modular functionsRiemann surfacemodular curveplane partitionspartition congruencesinfinite congruence family

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Cites Work

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• An algorithmic approach to Ramanujan-Kolberg identities
• 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
• Elementary proofs of infinitely many congruences for \(k\)-elongated partition diamonds
• On the computation of identities relating partition numbers in arithmetic progressions with eta quotients: an implementation of Radu's algorithm
• Construction and Application of a Class of Modular Functions (II)†
• MacMahon's partition analysis. VIII: Plane partition diamonds
• Congruences for k-elongated plane partition diamonds

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