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On the irrationality of the infinite product ∞Πj=0 (1+q−jr+q−2js)

Published online by Cambridge University Press:  01 May 1999

PING ZHOU
PING ZHOU
Affiliation:
Department of Mathematics and Statistics, Simon Fraser University, Burnaby, B.C., Canada, V5A 1S6; e-mail: pzhou@cecm.sfu.ca
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Abstract

We prove that if q is an integer greater than one, r and s are any positive rationals, then

formula here

is irrational and is not a Liouville number.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 126 , Issue 3 , May 1999 , pp. 387 - 397
Copyright
The Cambridge Philosophical Society 1999

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