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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.… Click to show full 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.
Keywords:
theta functions;
coefficients quotients;
vanishing coefficients;
modulus five;
functions modulus;
quotients theta
Journal Title: Bulletin of The Australian Mathematical Society
Year Published: 2020
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Journal Title: Bulletin of The Australian Mathematical Society
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!