Overpartition pairs modulo powers of 2

DOI10.1016/j.disc.2011.02.002zbMath1216.11094OpenAlexW1965770293MaRDI QIDQ534045

Byungchan Kim

Publication date: 10 May 2011

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2011.02.002

zbMATH Keywords

overpartition \(k\)-tuplesoverpartition pair

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Analytic theory of partitions (11P82)

Related Items (19)

New congruences for \(\ell\)-regular overpartition pairs ⋮ Partition identities arising from Ramanujan's formulas for multipliers ⋮ Some congruences for overpartitions with restriction ⋮ Ramanujan type identities and congruences for partition pairs ⋮ An elementary proof of a conjecture of Saikia on congruences for \(t\)-colored overpartitions ⋮ Congruence properties modulo powers of 2 for overpartitions and overpartition pairs ⋮ Congruences for \(\ell\)-regular overpartition for \(\ell \in \{5,6,8\}\) ⋮ Congruences modulo 9 for singular overpartitions ⋮ Unnamed Item ⋮ Arithmetic properties of $\ell$-regular overpartition pairs ⋮ Quadratic forms and congruences for \(\ell\)-regular partitions modulo 3, 5 and 7 ⋮ Overpartitions and ternary quadratic forms ⋮ Congruences for \(\ell \)-regular overpartitions and Andrews' singular overpartitions ⋮ Arithmetic properties of overpartition triples ⋮ On overpartition pairs into odd parts modulo powers of 2 ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Arithmetic properties of bipartitions with even parts distinct ⋮ Unnamed Item

Cites Work

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• Ramanujan's identities and representation of integers by certain binary and quaternary quadratic forms
• Divisibility of certain partition functions by powers of primes
• Combinatorial proofs of Ramanujan's \(_{1} \psi_{1}\) summation and the \(q\)-Gauss summation.
• The overpartition function modulo small powers of 2
• Quadratic Forms and Four Partition Functions Modulo 3
• Arithmetic properties of overpartition pairs
• RANK AND CONGRUENCES FOR OVERPARTITION PAIRS
• Some Arithmetic Properties of Overpartition k-Tuples
• Overpartitions
• Construction and Application of a Class of Modular Functions (II)†

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