New congruences for Andrews' singular overpartitions
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Publication:3451565
DOI10.1142/S1793042115501018zbMath1391.11143OpenAlexW2180300599MaRDI QIDQ3451565
Nayandeep Deka Baruah, Zakir Hussain Ahmed
Publication date: 17 November 2015
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793042115501018
Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)
Related Items (27)
Congruences and asymptotics of Andrews' singular overpartitions ⋮ Congruences for Andrews' singular overpartitions ⋮ New infinite families of congruences for Andrews’ (K, I)-singular overpartitions ⋮ Congruences modulo 16, 32, and 64 for Andrews's singular overpartitions ⋮ New congruences for \(t\)-core partitions and Andrews' singular overpartitions ⋮ Arithmetic properties of singular overpartition pairs without multiples of k ⋮ Almost 3-regular overpartitions ⋮ Distribution of Andrews' singular overpartitions \(\overline{C}_{p,1}(n)\) ⋮ Andrews singular overpartition pairs with odd parts ⋮ Congruences modulo 9 for singular overpartitions ⋮ Arithmetic properties of $\ell$-regular overpartition pairs ⋮ Congruences for Andrews singular overpartition pairs ⋮ Certain eta-quotients and arithmetic density of Andrews' singular overpartitions ⋮ On the number of l-regular overpartitions ⋮ Andrews' singular overpartitions with odd parts ⋮ Congruences for \(\ell \)-regular overpartitions and Andrews' singular overpartitions ⋮ Some congruences modulo 2, 8 and 12 for Andrews' singular overpartitions ⋮ Arithmetic properties for Andrews' \((48,6)\)- and \((48,18)\)-singular overpartitions ⋮ Some new congruences for Andrews' singular overpartition pairs ⋮ Unnamed Item ⋮ Some new congruences for Andrews' singular overpartitions ⋮ Congruences for overpartitions with restricted odd differences ⋮ On mex-related partition functions of Andrews and Newman ⋮ Unnamed Item ⋮ Divisibility of Andrews' singular overpartitions by powers of 2 and 3 ⋮ Certain eta-quotients and \(\ell \)-regular overpartitions ⋮ On generalized Schur’s partitions
Cites Work
- Arithmetic properties of \(\ell\)-regular partitions
- Congruences modulo \(p^2\) and \(p^3\) for \(k\) dots bracelet partitions with \(k = m p^s\)
- Arithmetic properties of Andrews' singular overpartitions
- Singular overpartitions
- SOME CONGRUENCES DEDUCIBLE FROM RAMANUJAN'S CUBIC CONTINUED FRACTION
- Overpartitions
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