Congruences for \(\ell\)-regular overpartition for \(\ell \in \{5,6,8\}\)
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Publication:1702460
DOI10.1007/s13226-017-0227-6zbMath1432.11149OpenAlexW2755572034MaRDI QIDQ1702460
Nipen Saikia, Chayanika Boruah
Publication date: 28 February 2018
Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13226-017-0227-6
Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)
Related Items (5)
Congruences for \([j, k\)-overpartitions with even parts distinct] ⋮ Congruences for overpartitions with \(\ell\)-regular over-lined parts ⋮ Unnamed Item ⋮ Arithmetic properties for \(\ell\)-regular partition functions with distinct even parts ⋮ Infinite families of congruences for \(m\)-regular \([j, k\)-overpartitions in two colors]
Cites Work
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- Parity results for 9-regular partitions
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- Arithmetic of the 13-regular partition function modulo 3
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- A short note on the overpartition function
- \(l\)-divisibility of \(l\)-regular partition functions
- Gordon's theorem for overpartitions.
- The overpartition function modulo small powers of 2
- Congruences modulo \(p^2\) and \(p^3\) for \(k\) dots bracelet partitions with \(k = m p^s\)
- Arithmetic properties of l-regular overpartitions
- Parity results for 7-regular and 23-regular partitions
- ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS
- ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS
- A PROOF OF KEITH'S CONJECTURE FOR 9-REGULAR PARTITIONS MODULO 3
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