Proofs of Silva-Sellers' conjectures on a mock theta function

DOI10.1007/s13398-021-01106-3zbMath1470.11267OpenAlexW3200098185WikidataQ113899232 ScholiaQ113899232MaRDI QIDQ1982627

Olivia X. M. Yao

Publication date: 14 September 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-021-01106-3

zbMATH Keywords

congruencestheta functionsmock theta function\((p, k)\)-parametrization of theta functions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Theta series; Weil representation; theta correspondences (11F27)

Related Items (1)

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

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 \(\omega (q)\)
• New mock theta conjectures. I
• Modular transformations of Ramanujan's fifth and seventh order mock theta functions
• Congruences related to the Ramanujan/Watson mock theta functions \(\omega (q)\) and \(\nu (q)\)
• The number of representations of a positive integer by certain octonary quadratic forms
• Congruences related to an eighth order mock theta function of Gordon and McIntosh
• The power of \(q\). A personal journey
• Congruences for the coefficients of the mock theta function \(\beta (q)\)
• FOURIER SERIES OF A CLASS OF ETA QUOTIENTS

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