This paper discusses the Dirichlet's L-function L(s,χ) for a character χ mod k, and we prove a refinement of the error term using the result on Hurwitz Zeta function, proved by the author in an earlier paper.
Keywords: Dirichlet's L-functions,Hurwitz Zeta function,Mean square of L-functions on the critical line,[MATH]Mathematics [math]
Bibliographic References
2 Documents citing this article
A. Kacenas;A. Laurincikas;S. Zamarys, 2005, On Fractional Moments of Dirichlet L-Functions, Lithuanian Mathematical Journal, 45, 2, pp. 173-191, 10.1007/s10986-005-0022-7.
Zhan Tao, 1992, On the mean square of dirichletL-functions, Acta Mathematica Sinica English Series, 8, 2, pp. 204-224, 10.1007/bf02629940.