New congruences modulo 5 for the number of 2-color partitions

DOI10.1016/j.jnt.2015.05.002zbMath1328.11105OpenAlexW807525068MaRDI QIDQ2517132

Zakir Hussain Ahmed, Nayandeep Deka Baruah, Manosij Ghosh Dastidar

Publication date: 14 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.05.002

zbMATH Keywords

partitionscongruencesRogers-Ramanujan continued fraction2-color partitions

Mathematics Subject Classification ID

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

Related Items

Infinite families of congruences modulo powers of 2 for some partition functions involving only odd parts ⋮ Congruences and recursions for the cubic partition ⋮ Congruences modulo prime for fractional colour partition function ⋮ Families of congruences for fractional partition functions modulo powers of primes ⋮ Some congruence properties of a restricted bipartition function \(c_N(n)\) ⋮ New congruences for 2-color partitions ⋮ Arithmetic properties of \(2\)-color overpartition pairs ⋮ Infinite families of congruences modulo 5 and 7 for the cubic partition function

Cites Work

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• Identities and congruences for the general partition and Ramanujan's tau functions
• Modular equations for cubes of the Rogers-Ramanujan and Ramanujan-Göllnitz-Gordon functions and their associated continued fractions
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"

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