Abstract
Let $S(t,f) := \pi^{-1} \arg L(1/2+it,f)$, where $f$ is a holomorphic Hecke cusp form for $\operatorname{SL}_2(\mathbb{Z})$ of weight $k$. We establish an asymptotic formula for the moments of $S(t,f)$.
Funding Statement
The first author was supported by a grant (#344139) from the Simons Foundation.
Acknowledgments
The authors would like to thank the referee for his/her careful reading and valuable comments.
Citation
Sheng-Chi Liu. Jemin Shim. "Moments of $S(t,f)$ Associated with Holomorphic Hecke Cusp Forms." Taiwanese J. Math. 26 (3) 463 - 482, June, 2022. https://doi.org/10.11650/tjm/211207
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