Certain eta-quotients and arithmetic density of Andrews' singular overpartitions

DOI10.1016/j.jnt.2020.11.018zbMath1479.05026OpenAlexW3116570261WikidataQ114157123 ScholiaQ114157123MaRDI QIDQ1981614

Yanyan Li

Publication date: 6 September 2021

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.11.018

zbMATH Keywords

modular formssingular overpartitionseta-quotientsarithmetic density

Mathematics Subject Classification ID

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

Related Items (4)

Arithmetic density and new congruences for \(3\)-core partitions ⋮ Arithmetic density and congruences of \(t\)-core partitions ⋮ Distribution of Andrews' singular overpartitions \(\overline{C}_{p,1}(n)\) ⋮ New density results and congruences for Andrews' singular overpartitions

Cites Work

• Unnamed Item
• Congruences for Andrews' singular overpartitions
• Congruences for \(\ell \)-regular overpartitions and Andrews' singular overpartitions
• Divisibility of certain partition functions by powers of primes
• Congruences for Andrews' \((k,i)\)-singular overpartitions
• The overpartition function modulo small powers of 2
• Divisibility of Andrews' singular overpartitions by powers of 2 and 3
• Arithmetic properties of Andrews' singular overpartitions
• Singular overpartitions
• New congruences for Andrews' singular overpartitions
• Overpartitions
• Parity of the partition function in arithmetic progressions.

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