Elementary proofs of infinite families of congruences for Merca's cubic partitions

DOI10.1007/S11139-022-00660-7arXiv2208.11249MaRDI QIDQ6185611

James A. Sellers, Robson da Silva

Publication date: 8 January 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.11249

zbMATH Keywords

partitionsgenerating functionscongruencescubic partitions

Mathematics Subject Classification ID

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

Related Items (1)

Differences of even and odd numbers of parts of the cubic and analogous partition functions

Cites Work

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• Ramanujan type identities and congruences for partition pairs
• Arithmetic properties of partitions with odd parts distinct
• A further look at cubic partitions
• The power of \(q\). A personal journey
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND RAMANUJAN TYPE CONGRUENCES FOR A CERTAIN PARTITION FUNCTION

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