Published online by Cambridge University Press: 27 March 2020
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.
The second author was supported by the Postdoctoral Science Foundation of China (No. 2019M661005).