Congruences modulo 16, 32, and 64 for Andrews's singular overpartitions
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Publication:2398298
DOI10.1007/s11139-015-9760-2zbMath1422.11217OpenAlexW2277564388MaRDI QIDQ2398298
Publication date: 15 August 2017
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-015-9760-2
Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)
Related Items (16)
Explicit congruences modulo 2048 for overpartitions ⋮ Some congruences for 3-component multipartitions ⋮ New infinite families of congruences for Andrews’ (K, I)-singular overpartitions ⋮ Arithmetic properties of singular overpartition pairs without multiples of k ⋮ Andrews singular overpartition pairs with odd parts ⋮ Proofs of some conjectures of Sun on the relations between sums of squares and sums of triangular numbers ⋮ New congruences modulo 5 and 9 for partitions with odd parts distinct ⋮ Congruences for Andrews singular overpartition pairs ⋮ Andrews' singular overpartitions with odd parts ⋮ Proofs of some conjectures of Sun on the relations between \(N(a,b,c,d;n)\) and \(t(a,b,c,d;n)\) ⋮ Some congruences modulo 2, 8 and 12 for Andrews' singular overpartitions ⋮ Arithmetic properties for Andrews' \((48,6)\)- and \((48,18)\)-singular overpartitions ⋮ Arithmetic properties for a partition function related to the Ramanujan/Watson mock theta function \(\omega (q)\) ⋮ Some new congruences for Andrews' singular overpartition pairs ⋮ Unnamed Item ⋮ Arithmetic properties of 9-regular partitions with distinct odd parts
Cites Work
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- Analogues of Ramanujan's partition identities
- Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations
- Jagged partitions
- Arithmetic properties of Andrews' singular overpartitions
- Singular overpartitions
- New congruences for Andrews' singular overpartitions
- Cubic Analogues of the Jacobian Theta Function θ(z, q)
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