Congruences for the coefficients of a pair of third and sixth order mock theta functions

DOI10.1007/s11139-022-00635-8OpenAlexW4296352217MaRDI QIDQ6164975

Nayandeep Deka Baruah, Hirakjyoti Das

Publication date: 28 July 2023

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

Full work available at URL: https://doi.org/10.1007/s11139-022-00635-8

zbMATH Keywords

\(q\)-seriespartition functiongenerating functioncongruencesmock theta functionRamanujan theta function

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Computational number theory (11Y99)

Cites Work

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• Arithmetic properties for a partition function related to the Ramanujan/Watson mock theta function \(\omega (q)\)
• Partitions associated with the Ramanujan/Watson mock theta functions \(\omega(q)\), \(\nu(q)\) and \(\phi(q)\)
• An algorithmic approach to Ramanujan's congruences
• 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 \(\nu (q)\)
• Proofs of Silva-Sellers' conjectures on a mock theta function
• Congruence properties of coefficients of the eighth-order mock theta function \(V_0(q)\)
• Congruences related to an eighth order mock theta function of Gordon and McIntosh
• Two identities on the mock theta function \(V_0(q)\)
• Congruences for the coefficients of the mock theta function \(\beta (q)\)
• Sixth order mock theta functions
• Congruences for the coefficients of the Gordon and McIntosh mock theta function \(\xi (q)\)
• On certain explicit congruences for mock theta functions
• ARITHMETIC PROPERTIES OF COEFFICIENTS OF THE MOCK THETA FUNCTION
• Ramanujan's Lost Notebook
• Generating functions and congruences for some partition functions related to mock theta functions
• ARITHMETIC PROPERTIES OF -REGULAR BIPARTITIONS
• THE ROGERS–RAMANUJAN CONTINUED FRACTION AND RELATED ETA-QUOTIENT REPRESENTATIONS

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