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On the twisted quadratic moment for Dirichlet L-functions

https://doi.org/10.1016/j.jnt.2016.11.010

  • Research Fields산업수학센터
  • AuthorSeok Hyeong Lee, Seungjai Lee*
  • JournalJournal of Number Theory 174 (2017
  • Link https://doi.org/10.1016/j.jnt.2016.11.010
  • Classification of papersSCI
  • KeywordL-function; Dirichlet character; Mean values; Moments
Given c, a positive integer, we give an asymptotic formula for
∑χ≠χ0χ(c)|L(1,χ)|2,
where χ is the non-trivial Dirichlet character mod f with f coprime to c.
Given c, a positive integer, we give an asymptotic formula for
∑χ≠χ0χ(c)|L(1,χ)|2,
where χ is the non-trivial Dirichlet character mod f with f coprime to c.