Congruences for \(\ell \)-regular overpartitions and Andrews' singular overpartitions

DOI10.1007/s11139-016-9860-7zbMath1379.05005OpenAlexW2572285348MaRDI QIDQ682019

Rupam Barman, Chiranjit Ray

Publication date: 13 February 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-016-9860-7

zbMATH Keywords

partitiontheta functionssingular overpartitionoverpartitionregular overpartition

Mathematics Subject Classification ID

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

Related Items (7)

Infinite families of congruences for k-regular overpartitions ⋮ Distribution of Andrews' singular overpartitions \(\overline{C}_{p,1}(n)\) ⋮ Certain eta-quotients and arithmetic density of Andrews' singular overpartitions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Divisibility of Andrews' singular overpartitions by powers of 2 and 3 ⋮ Certain eta-quotients and \(\ell \)-regular overpartitions

Cites Work

• Congruences for Andrews' singular overpartitions
• Arithmetic properties of \(\ell\)-regular partitions
• Overpartition pairs modulo powers of 2
• Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations
• A short note on the overpartition function
• Gordon's theorem for overpartitions.
• The overpartition function modulo small powers of 2
• Arithmetic properties of l-regular overpartitions
• Arithmetic properties of Andrews' singular overpartitions
• Singular overpartitions
• New congruences for Andrews' singular overpartitions
• Overpartitions
• Unnamed Item
• Unnamed Item

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