• A note on the mean value of L-series

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    • Keywords


      L-series; primitive characters; mean value

    • Abstract


      Using Hilbert’s inequality, we give a new asymptotic formula (uniform inq andT) for$$\mathop \Sigma \limits_{\begin{array}{*{20}c} {\chi (mod q)} \hfill \\ {\chi primitive} \hfill \\ \end{array} } \smallint _T^{2T} |L(\tfrac{1}{2} + it,\chi )^4 |dt$$

    • Author Affiliations


      V V Rane1

      1. Scuola Normale Superiore, Piazza dei Cavalieri, 7, Pisa - 56100, Italy
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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