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- W3209355871 abstract "We introduce a class of multiplicative functions in which each function satisfies some statistic conditions, and then prove that above functions are not correlated with finite degree polynomial nilsequences. Besides, we give two applications of this result. One is that the twisting of coefficients of automorphic $L$-function on $GL_m (m geq 2)$ and polynomial nilsequences has logarithmic decay; the other is that the mean value of the Mobius function, coefficients of automorphic $L$-function and polynomial nilsequences also has logarithmic decay." @default.
- W3209355871 created "2021-11-08" @default.
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- W3209355871 date "2021-10-22" @default.
- W3209355871 modified "2023-09-27" @default.
- W3209355871 title "Discorrelation of multiplicative functions with nilsequences and its application on coefficients of automorphic $L$-functions" @default.
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- W3209355871 doi "https://doi.org/10.48550/arxiv.2110.11699" @default.
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