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VANISHING COEFFICIENTS IN QUOTIENTS OF THETA FUNCTIONS OF MODULUS FIVE
Published online by Cambridge University Press: 27 March 2020
Abstract
Following recent investigations of vanishing coefficients in infinite products, we show that such instances are very rare when the infinite product is among a family of theta-quotients of modulus five. We also prove that a general family of products of theta functions of modulus five can always be effectively 5-dissected.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 102 , Issue 3 , December 2020 , pp. 387 - 398
- Copyright
- © 2020 Australian Mathematical Publishing Association Inc.
Footnotes
The second author was supported by the Postdoctoral Science Foundation of China (No. 2019M661005).
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