Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0746.11034
Butzer, P.L.; Hauss, M.
Riemann zeta function: Rapidly converging series and integral representations. (English)
[J] Appl. Math. Lett. 5, No.2, 83-88 (1992). ISSN 0893-9659

This paper follows an earlier work [{\it P. L. Butzer, C. Markett} and {\it M. Schmidt}, Result. Math. 19, 257-274 (1991; Zbl 0724.11036)] on Stirling numbers, central factorial numbers, and their relation to the values of the Riemann zeta function $\zeta(m)$ for integer $m\ge 2$, with special emphasis on the interaction between sum and integral identities. The principal results are new rapidly convergent series and integral representations for $\zeta(m)$ and for special Dirichlet $L$-functions with integer argument.
[T.M.Apostol (Pasadena)]

MSC 2000:: *11M06 Riemannian zeta-function and Dirichlet L-function
11M41 Other Dirichlet series and zeta functions

Keywords: Riemann zeta function; rapidly convergent series; integral representations; Dirichlet $L$-functions

Citations: Zbl 0724.11036

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]