On Andrews' integer partitions with even parts below odd parts

DOI10.1016/j.jnt.2020.02.001zbMath1444.05014arXiv1812.08702OpenAlexW2903955028WikidataQ114157203 ScholiaQ114157203MaRDI QIDQ784291

Chiranjit Ray, Rupam Barman

Publication date: 3 August 2020

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

Full work available at URL: https://arxiv.org/abs/1812.08702

zbMATH Keywords

partitionscongruencesmodular formsHecke eigenforms

Mathematics Subject Classification ID

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

Related Items (9)

On the parity of the number of (a,b,m)-copartitions of n ⋮ Congruence modulo 4 for Andrews' even parts below odd parts partition function ⋮ Partition congruences and vanishing coefficients of products of theta functions ⋮ Congruences modulo powers of 2 for restricted partition triples due to Lin and Wang ⋮ Unnamed Item ⋮ Arithmetic properties of 3-regular partitions with distinct odd parts ⋮ Certain eta-quotients and \(\ell \)-regular overpartitions ⋮ A new analogue of $t$-core partitions ⋮ Divisibility and distribution of mex-related integer partitions of Andrews and Newman

Cites Work

• Unnamed Item
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• Arithmetic properties of overpartition pairs into odd parts
• Divisibility of certain partition functions by powers of primes
• Integer partitions with even parts below odd parts and the mock theta functions
• Divisibility of Andrews' singular overpartitions by powers of 2 and 3
• Eta Products and Theta Series Identities
• CONGRUENCE PROPERTIES MODULO 5 AND 7 FOR THE pod FUNCTION
• RANK AND CONGRUENCES FOR OVERPARTITION PAIRS
• Parity of the partition function in arithmetic progressions.
• ARITHMETIC PROPERTIES OF -REGULAR BIPARTITIONS
• On the Distribution of Parity in the Partition Function
• Multiplicative 𝜂-quotients

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