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On a level analog of Selberg's result on $S(t)$

math.NT · 2024-07-20 · unverdicted · novelty 7.0

Unconditional asymptotic formula for moments of S(t,f) for Hecke cusp forms of prime level q, implying a weighted central limit theorem for S(t,f) normalized by sqrt(log log q).

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  • On a level analog of Selberg's result on $S(t)$ math.NT · 2024-07-20 · unverdicted · none · ref 3

    Unconditional asymptotic formula for moments of S(t,f) for Hecke cusp forms of prime level q, implying a weighted central limit theorem for S(t,f) normalized by sqrt(log log q).