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ARITHMETIC PROPERTIES OF COEFFICIENTS OF THE MOCK THETA FUNCTION $B(q)$
Published online by Cambridge University Press: 21 November 2019
Abstract
We investigate the arithmetic properties of the second-order mock theta function $B(q)$ and establish two identities for the coefficients of this function along arithmetic progressions. As applications, we prove several congruences for these coefficients.
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- Research Article
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- Copyright
- © 2019 Australian Mathematical Publishing Association Inc.
Footnotes
The author was partially supported by the National Natural Science Foundation of China (Grant No. 11971341).
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