Congruences for the coefficients of the mock theta function \(\beta (q)\)
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Publication:2422138
DOI10.1007/s11139-018-0056-1zbMath1446.11191OpenAlexW2899461380MaRDI QIDQ2422138
Publication date: 18 June 2019
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-018-0056-1
Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)
Related Items (6)
On second order mock theta function \(B(q)\) ⋮ Congruences for the coefficients of the Gordon and McIntosh mock theta function \(\xi (q)\) ⋮ Congruences for the coefficients of a pair of third and sixth order mock theta functions ⋮ Proofs of Silva-Sellers' conjectures on a mock theta function ⋮ Congruences for sixth order mock theta functions \(\lambda(q)\) and \(\rho(q)\) ⋮ THE ROGERS–RAMANUJAN CONTINUED FRACTION AND RELATED ETA-QUOTIENT REPRESENTATIONS
Cites Work
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- Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
- Modular transformations of Ramanujan's fifth and seventh order mock theta functions
- Congruences related to the Ramanujan/Watson mock theta functions \(\omega (q)\) and \(\nu (q)\)
- Sixth order mock theta functions
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- CONGRUENCE PROPERTIES MODULO 5 AND 7 FOR THE pod FUNCTION
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