Elementary proofs of infinitely many congruences for 8-cores

DOI10.1023/A:1006953609540zbMath0939.05009OpenAlexW2116462045MaRDI QIDQ1306586

James A. Sellers, Louis Worthy Kolitsch

Publication date: 29 June 2000

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006953609540

zbMATH Keywords

partitionscongruences\(t\)-cores

Mathematics Subject Classification ID

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

Related Items (9)

Congruences for the number of spin characters of the double covers of the symmetric and alternating groups ⋮ New congruences modulo powers of 2 for broken 3-diamond partitions and 7-core partitions ⋮ Some infinite families of congruences for \(t\)-core partition functions ⋮ On \(t\)-core towers and \(t\)-defects of partitions ⋮ Some results on bipartitions with 3-core ⋮ Congruences for \(2^t\)-core partition functions ⋮ Congruences for \(t\)-core partition functions ⋮ On the distribution of \(2^t\)-core partitions modulo \(2^j\) ⋮ Arithmetical properties of the number of \(t\)-core partitions

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