We investigate the triple correlation sums of coefficients of $ \theta $-series and prove an asymptotic formula with power-saving error term. As a result, we present that this type of sum is non-trivial in the regime $ H\ge X^{2/3+\varepsilon} $.
Citation: Fei Hou, Bin Chen. Triple correlation sums of coefficients of $ \theta $-series[J]. AIMS Mathematics, 2023, 8(10): 25275-25287. doi: 10.3934/math.20231289
We investigate the triple correlation sums of coefficients of $ \theta $-series and prove an asymptotic formula with power-saving error term. As a result, we present that this type of sum is non-trivial in the regime $ H\ge X^{2/3+\varepsilon} $.
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Fei Hou, Bin Chen. Triple correlation sums of coefficients of $ \theta $-series[J]. AIMS Mathematics, 2023, 8(10): 25275-25287. doi: 10.3934/math.20231289
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