Theta-type congruences for colored partitions

DOI10.1016/j.jnt.2023.06.007arXiv2206.11779MaRDI QIDQ6093383

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Publication date: 6 September 2023

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

Full work available at URL: https://arxiv.org/abs/2206.11779

zbMATH Keywords

partitionscongruencesmodular formsRamanujan

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37) Congruences for modular and (p)-adic modular forms (11F33)

Cites Work

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• Congruences for powers of the partition function
• Congruences like Ramanujan's for powers of the partition function
• Arithmetic properties of the partition function
• Distribution of the partition function modulo \(m\)
• Congruence relations for \(r\)-colored partitions
• CLASSIFICATION OF CONGRUENCES FOR MOCK THETA FUNCTIONS AND WEAKLY HOLOMORPHIC MODULAR FORMS
• Ramanujan congruences for p_-k (mod 11')
• Congruence properties for the partition function
• Exceptional congruences for powers of the partition function
• CONGRUENCES FOR THE COEFFICIENTS OF WEAKLY HOLOMORPHIC MODULAR FORMS
• Congruences for p r (n) and Ramanujan's τ Function

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