Mathematical exploration of q-hypergeometric series and false theta functions, suggesting new insights into Hikami's conjecture.
Next, for m 2 and 0 a m -2, define the q-hypergeometric series (a) m (q) for |q| < 1 byHikami [5, Corollary 7] showed that the series (a) m (q) is the weight-1/2 false theta function2m (n)q n 2 /4m ,
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Lovejoy et al. (2025) studied this question.
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