School of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100, P. R. China
Abstract:
In this paper, by making use of Abel's theorem on power series, the reflection formula and the function equation for Hurwitz zeta function, we establish several expressions of Dirichlet L-function at positive integers by means of some finite sums of different types. Some special cases as well as immediate consequences of the results presented here are also considered.