New congruences for 2-color partitions

DOI10.1016/j.jnt.2015.12.020zbMath1408.11102arXiv1511.00246OpenAlexW1941665381MaRDI QIDQ5964551

Shane Chern

Publication date: 29 February 2016

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

Full work available at URL: https://arxiv.org/abs/1511.00246

zbMATH Keywords

modular formcongruence2-color partition

Mathematics Subject Classification ID

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

Related Items (8)

Infinite families of congruences modulo powers of 2 for some partition functions involving only odd parts ⋮ On congruence properties of the restricted partition functions \(p_{\omega}(n,k)\) and \(p_{\nu}(n,k)\) ⋮ Congruences for 3-core cubic partitions ⋮ 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 ⋮ Arithmetic properties of \(2\)-color overpartition pairs ⋮ Infinite families of congruences modulo 5 and 7 for the cubic partition function

Cites Work

• Identities and congruences for the general partition and Ramanujan's tau functions
• An algorithmic approach to Ramanujan's congruences
• New congruences modulo 5 for the number of 2-color partitions
• CONGRUENCE PROPERTIES MODULO 5 AND 7 FOR THE pod FUNCTION
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"

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