Arithmetic properties of singular overpartition pairs without multiples of k

DOI10.1108/AJMS-01-2021-0013zbMath1497.05007MaRDI QIDQ5095861

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Publication date: 11 August 2022

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

congruencesdissectionssingular overpartition pairs without multiples of \(k\)

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

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• Congruences and asymptotics of Andrews' singular overpartitions
• Congruences for Andrews' singular overpartitions
• Analogues of Ramanujan's partition identities
• Arithmetic properties of \(\ell\)-regular partitions
• Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations
• Some new congruences for Andrews' singular overpartition pairs
• Gordon's theorem for overpartitions.
• Andrews' singular overpartitions with odd parts
• New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions
• Congruences modulo 16, 32, and 64 for Andrews's singular overpartitions
• Arithmetic properties of Andrews' singular overpartitions
• Singular overpartitions
• New congruences for Andrews' singular overpartitions
• Cubic Analogues of the Jacobian Theta Function θ(z, q)
• Overpartitions
• Congruences for Andrews singular overpartition pairs
• ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS

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