Divisibility of Andrews' singular overpartitions by powers of 2 and 3

DOI10.1007/s40993-019-0161-2zbMath1416.05027arXiv1906.05027OpenAlexW2951969281WikidataQ127681805 ScholiaQ127681805MaRDI QIDQ2316348

Rupam Barman, Chiranjit Ray

Publication date: 26 July 2019

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

Full work available at URL: https://arxiv.org/abs/1906.05027

zbMATH Keywords

modular formssingular overpartitionseta-quotients

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (7)

Arithmetic properties of 3-regular 6-tuple partitions ⋮ Distribution of Andrews' singular overpartitions \(\overline{C}_{p,1}(n)\) ⋮ Certain eta-quotients and arithmetic density of Andrews' singular overpartitions ⋮ DIVISIBILITY OF CERTAIN SINGULAR OVERPARTITIONS BY POWERS OF AND ⋮ Certain eta-quotients and \(\ell \)-regular overpartitions ⋮ On Andrews' integer partitions with even parts below odd parts ⋮ A new analogue of $t$-core partitions

Cites Work

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• Divisibility of certain partition functions by powers of primes
• Congruences for Andrews' \((k,i)\)-singular overpartitions
• Arithmetic properties of cubic and overcubic partition pairs
• Arithmetic properties of Andrews' singular overpartitions
• Singular overpartitions
• New congruences for Andrews' singular overpartitions
• RANK AND CONGRUENCES FOR OVERPARTITION PAIRS
• Overpartitions
• Parity of the partition function in arithmetic progressions.

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