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- Title
Several Expressions of Dirichlet L-function at Positive Integers.
- Authors
He, Yuan
- 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.
- Subjects
DIRICHLET series; ZETA functions; INTEGERS; L-functions
- Publication
Acta Mathematica Sinica, 2019, Vol 35, Issue 9, p1549
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-019-8283-y