|
Title
|
|
|
|
The Riemann 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
[print]
1572-9303
[online]
|
|
|
DOI
|
|
|
|
10.1007/S11139-009-9168-Y
|
|
|
Volume/pages
|
|
|
|
21
:1
(2010)
, p. 1-16
|
|
|
ISI
|
|
|
|
000274043700001
|
|
|
Full text (Publisher's DOI)
|
|
|
|
|
|