Some congruences modulo 2, 8 and 12 for Andrews' singular overpartitions

DOI10.1285/i15900932v38n1p101zbMath1390.05021OpenAlexW2804882989MaRDI QIDQ4576045

Utpal Pore, S. N. Fathima

Publication date: 12 July 2018

Full work available at URL: http://siba-ese.unisalento.it/index.php/notemat/article/view/19184

zbMATH Keywords

sums of squaresgenerating functioncongruencesingular overpartition

Mathematics Subject Classification ID

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

Related Items (1)

On mex-related partition functions of Andrews and Newman

Cites Work

• Congruences and asymptotics of Andrews' singular overpartitions
• Congruences for Andrews' singular overpartitions
• New congruences for \(\ell \)-regular partitions for \(\ell \in \{5,6,7,49\}\)
• Arithmetic properties of \(\ell\)-regular partitions
• Arithmetic of the 13-regular partition function modulo 3
• Congruences for \(\ell\)-regular partition functions modulo 3
• Some new congruences for Andrews' singular overpartitions
• Gordon's theorem for overpartitions.
• Congruences modulo 16, 32, and 64 for Andrews's singular overpartitions
• Arithmetic properties of l-regular overpartitions
• Arithmetic properties of Andrews' singular overpartitions
• Singular overpartitions
• Congruences modulo 9 for singular overpartitions
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• New congruences for Andrews' singular overpartitions
• Cubic Analogues of the Jacobian Theta Function θ(z, q)
• Overpartitions
• ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS
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