Congruences modulo 27 for cubic partition pairs

DOI10.1016/J.JNT.2016.07.012zbMath1357.11105OpenAlexW2511609494MaRDI QIDQ331097

Bernard L. S. Lin

Publication date: 26 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.07.012

zbMATH Keywords

congruencecubic partition pairs

Mathematics Subject Classification ID

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

Related Items (10)

On \(\ell \)-regular cubic partitions with odd parts overlined ⋮ Unnamed Item ⋮ A further look at cubic partitions ⋮ Arithmetic properties of cubic and overcubic partition pairs ⋮ Arithmetic properties for cubic partition pairs modulo powers of 3 ⋮ Unnamed Item ⋮ On the computation of identities relating partition numbers in arithmetic progressions with eta quotients: an implementation of Radu's algorithm ⋮ A conjecture of B. Lin on cubic partition pairs ⋮ Congruences for cubic partition pairs modulo powers of 3 ⋮ On 3 and 9-regular cubic partitions

Cites Work

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• Some congruences for 6-colored generalized Frobenius partitions
• Multiranks for partitions into multi-colors
• Ramanujan type congruences for a partition function
• Distribution of a certain partition function modulo powers of primes
• Partition statistics for cubic partition pairs
• Arithmetic properties of overcubic partition pairs
• ON PARTITION CONGRUENCES FOR OVERCUBIC PARTITION PAIRS
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND RAMANUJAN TYPE CONGRUENCES FOR A CERTAIN PARTITION FUNCTION
• A Letter from Fitzroy House
• Some Cubic Modular Identities of Ramanujan

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