Proofs of some conjectures of Chan and Wang on congruences for \((q;q)_\infty^{\frac{a}{b}}\)

DOI10.1007/s11139-019-00207-3zbMath1468.11216OpenAlexW3007172374WikidataQ113900582 ScholiaQ113900582MaRDI QIDQ829768

Ernest X. W. Xia, Haiyang Zhu

Publication date: 6 May 2021

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

Full work available at URL: https://doi.org/10.1007/s11139-019-00207-3

zbMATH Keywords

partitionscongruencesmodular equations

Mathematics Subject Classification ID

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

Related Items (2)

Congruences modulo prime for fractional colour partition function ⋮ Families of congruences for fractional partition functions modulo powers of primes

Cites Work

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• Congruences for powers of the partition function
• Congruences like Ramanujan's for powers of the partition function
• Ramanujan's tau function
• Ramanujan congruences for p_-k (mod 11')
• Fractional powers of the generating function for the partition function
• Congruences modulo 5 for the number of spin characters of the double covers of the symmetric and alternating groups
• Exceptional congruences for powers of the partition function
• ARITHMETIC PROPERTIES OF 1-SHELL TOTALLY SYMMETRIC PLANE PARTITIONS
• Ramanujan Congruences for p_-k(n)

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