Publication
Title
The Riemann $\zeta$ function and asymptotics for Stieltjes fractions
Author
Abstract
 We study the asymptotic behaviour of the coefficients in the continued fractions corresponding to Stieltjes transforms of weight functions on a finite interval. It is shown that, in general, the coefficients with odd and even index converge to a different limit. For a specific class of weights a detailed asymptotic expansion of the coefficients is obtained. Some examples serve as illustration and an application to continued fraction expansions for the Riemann zeta function is given.
Language
English
Source (journal)
Ramanujan journal
Publication
2010
ISSN
1382-4090
Volume/pages
21:1(2010), p. 1-16
ISI
000274043700001
Full text (Publisher's DOI)
UAntwerpen
 Faculty/Department Research group Publication type Subject Affiliation Publications with a UAntwerp address