Abstract
We establish some vanishing results on the coefficients of products of one variable theta functions. As applications, we prove some congruence properties of Andrews’ partition function \(\overline{\mathcal{E}\mathcal{O}}(n)\) and refine Ray and Barman’s congruences.
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The research was supported by the National Natural Science Foundation of China (Grant No. 11771121).
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Chen, SC. Partition congruences and vanishing coefficients of products of theta functions. Ramanujan J 62, 1125–1144 (2023). https://doi.org/10.1007/s11139-023-00751-z
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DOI: https://doi.org/10.1007/s11139-023-00751-z