On the irrationality of a certain q series

Authors
Borwein, PB Zhou, P
Citation
Pb. Borwein et P. Zhou, On the irrationality of a certain q series, P AM MATH S, 127(6), 1999, pp. 1605-1613
Citations number
10
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
6
Year of publication
1999
Pages
1605 - 1613
Database
ISI
SICI code
0002-9939(199906)127:6<1605:OTIOAC>2.0.ZU;2-L
Abstract
We prove that if q is an integer greater than one, r and s are any positive rationals such that 1 + q(m)r - q(2m) s not equal 0 for all integers m gre ater than or equal to 0, then [GRAPHICS] is irrational and is not a Liouville number.