Arithmetic properties of \(2\)-color overpartition pairs

DOI10.32513/tbilisi/1593223220zbMath1497.11254OpenAlexW3037257301MaRDI QIDQ2081147

S. Shivaprasada Nayaka, Megadahalli S. Mahadeva Naika

Publication date: 12 October 2022

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32513/tbilisi/1593223220

zbMATH Keywords

congruencesdissections\(2\)-color overpartition pairs

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)

Cites Work

• Identities and congruences for the general partition and Ramanujan's tau functions
• Arithmetic properties of \(\ell\)-regular partitions
• Ramanujan type identities and congruences for partition pairs
• Some new modular relations for the Rogers-Ramanujan type functions of order eleven with applications to partitions
• Arithmetic properties of partitions with odd parts distinct
• New congruences modulo 5 for the number of 2-color partitions
• Some identities and congruences involving a certain family of numbers
• Ramanujan’s “Most Beautiful Identity”
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"
• Cubic Analogues of the Jacobian Theta Function θ(z, q)
• Overpartitions
• A continued fraction of Ramanujan and some Ramanujan-Weber class invariants
• New congruences for 2-color partitions
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