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On a level analog of Selberg's result on $S(t)$
Published 20 Jul 2024 in math.NT | (2407.14867v1)
Abstract: Let $S(t,f)=\pi{-1}\arg L(1/2+it, f)$, where $f$ is a holomorphic Hecke cusp form of weight $2$ and prime level $q$. In this paper, we establish an asymptotic formula for the moments of $S(t,f)$ without assuming the GRH.
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