Bulletin of the Korean Mathematical Society (대한수학회보)

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ON THE MEAN VALUES OF L(1, χ)

  • Wu, Zhaoxia (Department of Mathematics Northwest University) ;
  • Zhang, Wenpeng (Department of Mathematics Northwest University)
  • Received : 2011.06.10
  • Published : 2012.11.30
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Abstract

Let $p$ > 2 be a prime, and let $k{\geq}1$ be an integer. Let ${\chi}$ be a Dirichlet character modulo $p$, and let $L(s,{\chi})$ be the Dirichlet L-function corresponding to ${\chi}$. In this paper we consider the mean values of $$\sum_{{\chi}\;mod\;p\\{\chi}(-1)=-1}{\chi}(2^k)|L(1,\chi)|^2$$.

Keywords

References

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Cited by

  1. On the mean values of Dirichlet L-functions vol.147, 2015, https://doi.org/10.1016/j.jnt.2014.07.005
  2. TWISTED QUADRATIC MOMENTS FOR DIRICHLET L-FUNCTIONS vol.52, pp.6, 2015, https://doi.org/10.4134/BKMS.2015.52.6.2095