On the distribution of \(2^t\)-core partitions modulo \(2^j\)

DOI10.1007/s11139-014-9634-zzbMath1386.11119OpenAlexW142379096MaRDI QIDQ746390

Haobo Dai, Chuan Ze Niu

Publication date: 16 October 2015

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

Full work available at URL: https://doi.org/10.1007/s11139-014-9634-z

zbMATH Keywords

modular formsnilpotence of Hecke algebras\(2^t\)-cores

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83)

Related Items (1)

Ramanujan-type congruences modulo 8 for 7- and 23-core partition functions

Cites Work

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• The nilpotence order of the mod 2 Hecke operators
• Congruences for \(t\)-core partition functions
• Odd coefficients of weakly holomorphic modular forms
• Arithmetical properties of the number of \(t\)-core partitions
• Some parity results for 16-cores
• Divisibilite de certaines fonctions arithmétiques
• Elementary proofs of infinitely many congruences for 8-cores
• Some amazing facts about \(4\)-cores
• On modular forms of half integral weight
• Cranks and t-cores
• ELEMENTARY PROOFS OF VARIOUS FACTS ABOUT 3-CORES
• On the Distribution of Parity in the Partition Function

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