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      Asymptotic formulas for the second moments of \(L\)-series associated to holomorphic cusp forms on the critical line

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          Abstract

          New uniform asymptotic formulas are obtained for the second moment of \(L\)-series of cusp forms of even weight \(2k\ge2\) with respect to the congruence subgroup \(\Gamma_0(N).\)

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          The rank of quotients of $J_0 (N)$

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            A lower bound for the rank of $J_0(q)$

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              On an asymptotic formula of Ramanujan for a certain theta-type series

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                Author and article information

                Journal
                2016-08-01
                Article
                1608.00555
                d2375ffd-589c-4592-9f36-98ab10946686

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                paper in Russian, accepted in Izvestiya: Mathematics
                math.NT

                Number theory
                Number theory

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