Congruences modulo 16, 32, and 64 for Andrews's singular overpartitions

DOI10.1007/s11139-015-9760-2zbMath1422.11217OpenAlexW2277564388MaRDI QIDQ2398298

Olivia X. M. Yao

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

zbMATH Keywords

theta functionssingular overpartitionsarithmetic properties

Mathematics Subject Classification ID

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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