Formulas for partition \(k\)-tuples with \(t\)-cores

DOI10.1016/j.jmaa.2016.01.040zbMath1331.05031arXiv1510.07226OpenAlexW2239248532MaRDI QIDQ5964406

Shane Chern

Publication date: 29 February 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07226

zbMATH Keywords

partitionmodular form\(k\)-tuple\(t\)-core

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (6)

Arithmetic properties of 5-tuple partitions with 3-cores ⋮ New congruences for \(k\)-tuples \(t\)-core partitions ⋮ Formulas for cubic partition with 3-cores ⋮ Bijections between \(t\)-core partitions and \(t\)-tuples ⋮ The number of tagged parts over the partitions with designated summands ⋮ Some properties of \(k\)-tuple \(t\)-core partitions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Congruences for \(t\)-core partition functions
• Explicit formulas for partition pairs and triples with 3-cores
• On the representation of integers as sums of triangular numbers
• Some amazing facts about \(4\)-cores
• Some results on bipartitions with 3-core
• Infinite families of arithmetic identities and congruences for bipartitions with 3-cores
• Cranks and t-cores
• Defect zero blocks for finite simple groups
• INFINITE FAMILIES OF CONGRUENCES MODULO 3 AND 9 FOR BIPARTITIONS WITH 3-CORES
• Some results on $3$-cores
• Congruences for \(2^t\)-core partition functions

This page was built for publication: Formulas for partition \(k\)-tuples with \(t\)-cores