• A note on the mean value of L-series

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      https://www.ias.ac.in/article/fulltext/pmsc/090/03/0273-0286

    • 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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