An elementary proof of a conjecture of Saikia on congruences for \(t\)-colored overpartitions

DOI10.1007/s40590-023-00574-4arXiv2307.01272MaRDI QIDQ6189056

James A. Sellers

Publication date: 12 January 2024

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.01272

zbMATH Keywords

partitionsgenerating functionscongruencesdissectionsdesignated summands

Mathematics Subject Classification ID

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

Cites Work

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• Ramanujan-type congruences for overpartitions modulo 16
• An algorithmic approach to Ramanujan-Kolberg identities
• Arithmetic properties of overpartition triples
• Overpartition pairs modulo powers of 2
• A short note on the overpartition function
• The overpartition function modulo small powers of 2
• Congruences modulo powers of 2 for \(t\)-colored overpartitions
• On the computation of identities relating partition numbers in arithmetic progressions with eta quotients: an implementation of Radu's algorithm
• The power of \(q\). A personal journey
• Some missed congruences modulo powers of 2 for \(t\)-colored overpartitions
• Some Arithmetic Properties of Overpartition k-Tuples
• Overpartitions

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