Arithmetic properties for Andrews' \((48,6)\)- and \((48,18)\)-singular overpartitions

DOI10.1515/math-2019-0026zbMath1467.11092OpenAlexW2946477483WikidataQ127832872 ScholiaQ127832872MaRDI QIDQ2278367

Wenjing Du, Eric H. Liu

Publication date: 5 December 2019

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

Full work available at URL: https://doi.org/10.1515/math-2019-0026

zbMATH Keywords

theta functioncongruencesingular overpartition

Mathematics Subject Classification ID

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

Cites Work

• Congruences and asymptotics of Andrews' singular overpartitions
• Congruences for Andrews' singular overpartitions
• Analogues of Ramanujan's partition identities
• Congruences modulo 9 and 27 for overpartitions
• New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions
• Some modular relations for the Göllnitz-Gordon functions and Ramanujan's modular equations
• Congruences modulo 16, 32, and 64 for Andrews's singular overpartitions
• Arithmetic properties of Andrews' singular overpartitions
• Singular overpartitions
• Congruences modulo 9 for singular overpartitions
• New congruences for Andrews' singular overpartitions
• Cubic Analogues of the Jacobian Theta Function θ(z, q)

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