Certain classes of rapidly convergent series representations for \(L(2n,\chi)\) and \(L(2n+1,\chi)\) (Q2773288)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Certain classes of rapidly convergent series representations for \(L(2n,\chi)\) and \(L(2n+1,\chi)\) |
scientific article; zbMATH DE number 1709881
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Certain classes of rapidly convergent series representations for \(L(2n,\chi)\) and \(L(2n+1,\chi)\) |
scientific article; zbMATH DE number 1709881 |
Statements
21 February 2002
0 references
Dirichlet \(L\)-functions
0 references
series representations
0 references
generating functions
0 references
Gauss sum
0 references
Mellin transformation
0 references
holomorphic function
0 references
Certain classes of rapidly convergent series representations for \(L(2n,\chi)\) and \(L(2n+1,\chi)\) (English)
0 references
\textit{M. Katsurada} [Acta Arith. 90, 79--89 (1999; Zbl 0933.11042)] derived rapidly convergent series for evaluating Dirichlet \(L\)-functions \(L(n,\chi)\) for integer \(n\geq 2\), where \(\chi\) is a nontrivial primitive Dirichlet character mod \(q\). The present authors use methods they developed for the Riemann zeta function in earlier work [J. Comput. Appl. Math. 118, 323--335 (2000; Zbl 0979.11041)] to evaluate the \(L\)-functions by series that converge more rapidly than those of Katsurada.
0 references
