• Hybrid mean value of 2$k$-th power inversion of $L$-functions and general quartic Gauss sums

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      https://www.ias.ac.in/article/fulltext/pmsc/129/02/0023

    • Keywords

       

      Dirichlet $L$-functions; Gauss sum; hybrid power mean; asymptotic formula

    • Abstract

       

      In this paper, we find the 2$k$-th power mean of the inversion of $L$-functions with the weight of the general quartic Gauss sums. We establish the results with the help of Dirichlet characters and properties of classical Gauss sums. We also describe asymptotic behaviour for it.

    • Author Affiliations

       

      SHIKHA SINGH1 JAGMOHAN TANTI1

      1. Centre for Applied Mathematics, Central University of Jharkhand, Ranchi 835 205, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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