Congruences for k-elongated plane partition diamonds

DOI10.1142/s1793042123501038zbMath1527.05019arXiv2207.06264OpenAlexW4364375452MaRDI QIDQ6050858

Hirakjyoti Das, Nayandeep Deka Baruah, Pranjal Talukdar

Publication date: 19 September 2023

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

Full work available at URL: https://arxiv.org/abs/2207.06264

zbMATH Keywords

generating functiontheta functioncongruence\(k\)-elongated partition diamonds

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items (1)

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

Cites Work

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• The power of \(q\). A personal journey
• Exact generating functions for the number of partitions into distinct parts
• MacMahon's partition analysis XI: Broken diamonds and modular forms
• Cubic Analogues of the Jacobian Theta Function θ(z, q)
• ARITHMETIC PROPERTIES OF -REGULAR BIPARTITIONS
• Schmidt type partitions

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