On the distribution of odd values of \(2^a\)-regular partition functions

DOI10.1016/J.JNT.2014.03.008zbMath1300.11103OpenAlexW2035615311WikidataQ114157532 ScholiaQ114157532MaRDI QIDQ740365

Chunlei Liu, Haobo Dai, Haode Yan

Publication date: 2 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.03.008

zbMATH Keywords

congruencesmodular forms\(2^a\)-regular partition functionsnilpotence of Hecke algebras

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Congruences for modular and (p)-adic modular forms (11F33)

Related Items (4)

Congruences for some \(l\)-regular partitions modulo \(l\) ⋮ On 9-regular bipartitions with distinct even parts ⋮ Arithmetic properties of 3-regular 6-tuple partitions ⋮ On 3-divisibility of 9- and 27-regular partitions

Cites Work

• Unnamed Item
• The nilpotence order of the mod 2 Hecke operators
• The \(p^{a}\)-regular partition function modulo \(p^{j}\)
• Divisibility of certain partition functions by powers of primes
• Divisibilite de certaines fonctions arithmétiques
• The 2-adic behavior of the number of partitions into distinct parts
• The arithmetic of partitions into distinct parts
• 2-ADIC PROPERTIES OF CERTAIN MODULAR FORMS AND THEIR APPLICATIONS TO ARITHMETIC FUNCTIONS

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