Combinatorial proofs of the Ramanujan type congruences modulo \(3\)

DOI10.1016/j.disc.2022.112809zbMath1489.11167arXiv2103.02135OpenAlexW3135551987WikidataQ113877033 ScholiaQ113877033MaRDI QIDQ2113364

Robert X. J. Hao

Publication date: 14 March 2022

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.02135

zbMATH Keywords

bijectioncombinatorial proofpartition statisticRamanujan type congruence

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Ramanujan type identities and congruences for partition pairs
• A truncated Jacobi triple product theorem
• Congruences for bipartitions with odd parts distinct
• Integer partitions and binary trees
• On the number of partitions with designated summands
• Overpartitions and singular overpartitions
• Combinatorial proofs of generating function identities for F-partitions
• Truncated Hecke-Rogers type series
• Cranks and t-cores
• Arithmetic properties of overpartition pairs
• Congruences modulo powers of 11 for some partition functions
• Multiranks and classical theta functions
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• Partitions with designated summands
• An Enumerative Proof of An Identity of Jacobi
• An analog of crank for a certain kind of partition function arising from the cubic continued fraction

This page was built for publication: Combinatorial proofs of the Ramanujan type congruences modulo \(3\)