Congruences and asymptotics of Andrews' singular overpartitions

DOI10.1016/j.jnt.2016.01.020zbMath1333.05028OpenAlexW2292224257MaRDI QIDQ266624

Shi-Chao Chen

Publication date: 13 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.01.020

zbMATH Keywords

congruencesasymptotic formulasingular overpartition

Mathematics Subject Classification ID

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

Related Items (11)

New infinite families of congruences for Andrews’ (K, I)-singular overpartitions ⋮ Arithmetic properties of singular overpartition pairs without multiples of k ⋮ Almost 3-regular overpartitions ⋮ On a Tauberian theorem of Ingham and Euler-Maclaurin summation ⋮ Andrews singular overpartition pairs with odd parts ⋮ Congruences for Andrews singular overpartition pairs ⋮ Andrews' singular overpartitions with odd parts ⋮ 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 ⋮ On generalized Schur’s partitions

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• Asymptotische Aussagen über Partitionen
• A Tauberian theorem for partitions
• Arithmetic properties of Andrews' singular overpartitions
• Singular overpartitions
• Arithmetic properties of a partition pair function
• New congruences for Andrews' singular overpartitions
• ELEMENTARY PROOFS OF VARIOUS FACTS ABOUT 3-CORES
• Overpartitions

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