New congruences modulo 9 for the coefficients of Gordon-McIntosh's mock theta function ξ ( q )

DOI10.2989/16073606.2023.2205604MaRDI QIDQ6495940

Olivia X. M. Yao

Publication date: 2 May 2024

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Cites Work

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• New congruences for partitions related to mock theta functions
• Arithmetic properties for a partition function related to the Ramanujan/Watson mock theta function \(\omega (q)\)
• Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
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• Congruences related to the Ramanujan/Watson mock theta functions \(\omega (q)\) and \(\nu (q)\)
• Sums of five, seven and nine squares
• Proofs of Silva-Sellers' conjectures on a mock theta function
• Congruences for sixth order mock theta functions \(\lambda(q)\) and \(\rho(q)\)
• On second order mock theta function \(B(q)\)
• 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 \(\xi (q)\)
• A Survey of Classical Mock Theta Functions
• On certain explicit congruences for mock theta functions
• Some Eighth Order Mock Theta Functions
• OVERPARTITIONS RELATED TO THE MOCK THETA FUNCTION

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