On the irrationality of the infinite product (infinity)Pi(j=0) (1+q(-j)r+q(-2j)s)

Authors
Zhou, P
Citation
P. Zhou, On the irrationality of the infinite product (infinity)Pi(j=0) (1+q(-j)r+q(-2j)s), MATH PROC C, 126, 1999, pp. 387-397
Citations number
14
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY
ISSN journal
03050041 → ACNP
Volume
126
Year of publication
1999
Part
3
Pages
387 - 397
Database
ISI
SICI code
0305-0041(199905)126:<387:OTIOTI>2.0.ZU;2-D
Abstract
We prove that if q is an integer greater than one, r and s are any positive rationals, then [GRAPHICS] is irrational and is not a Liouville number.