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VANISHING COEFFICIENTS IN QUOTIENTS OF THETA FUNCTIONS OF MODULUS FIVE

Published online by Cambridge University Press:  27 March 2020

SHANE CHERN
Affiliation:
Department of Mathematics,Penn State University, University Park, PA 16802, USA email shanechern@psu.edu
DAZHAO TANG
Affiliation:
Center for Applied Mathematics,Tianjin University, Tianjin 300072, PR China email dazhaotang@sina.com
Corresponding

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.

Type
Research Article
Copyright
© 2020 Australian Mathematical Publishing Association Inc.

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Footnotes

The second author was supported by the Postdoctoral Science Foundation of China (No. 2019M661005).

References

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