On Ramanujan-type congruences for multiplicative functions

DOI10.1007/s13398-022-01272-yzbMath1505.11138arXiv2112.05649OpenAlexW4281745077MaRDI QIDQ2144425

William Craig, Mircea Merca

Publication date: 13 June 2022

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.05649

zbMATH Keywords

partitionscongruencesmultiplicative functionssum of divisorsRamanujan-type congruencesover partitions

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Holomorphic modular forms of integral weight (11F11) Arithmetic functions; related numbers; inversion formulas (11A25)

Cites Work

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• Ramanujan-type congruences for overpartitions modulo 5
• Arithmetic properties of the partition function
• Infinite families of crank functions, Stanton-type conjectures, and unimodality
• Jagged partitions
• The vanishing of Ramanujan's function \(\tau(n)\)
• Overpartitions
• On the Ramanujan-type congruences modulo 8 for the overpartitions into odd parts

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