Infinite families of congruences for \(m\)-regular \([j, k]\)-overpartitions in two colors

DOI10.32513/asetmj/19322008224zbMath1499.11309OpenAlexW4301401636MaRDI QIDQ2083478

T. N. Veeranayaka, Harishkumar T, Megadahalli S. Mahadeva Naika

Publication date: 10 October 2022

Published in: Advanced Studies: Euro-Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/advanced-studies-euro-tbilisi-mathematical-journal/volume-15/issue-3/Infinite-families-of-congruences-for-m-regular-jk-overpartitions-in/10.32513/asetmj/19322008224.full

zbMATH Keywords

congruencesoverpartitions\([j, k\)-overpartions]color partitions

Mathematics Subject Classification ID

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

Cites Work

• Arithmetic properties of \(\ell\)-regular partitions
• Some modular relations for the Göllnitz-Gordon functions by an even-odd method
• Arithmetic properties of partitions with odd parts distinct
• Gordon's theorem for overpartitions.
• Some congruences modulo 5 and 25 for overpartitions
• Congruences modulo 8 for \((2,k)\)-regular overpartitions for odd \(k > 1\)
• Congruences for \(\ell\)-regular overpartition for \(\ell \in \{5,6,8\}\)
• The overpartition function modulo small powers of 2
• Arithmetic properties of l-regular overpartitions
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"
• Overpartitions
• Arithmetic properties of $\ell$-regular overpartition pairs
• On 3- and 9-regular overpartitions modulo powers of 3
• Proof of a conjecture of Hirschhorn and Sellers on overpartitions
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