On the irrationality of certain series

Author:

Borwein Peter B.

Abstract

AbstractWe prove that the seriesare irrational and not Liouville whenever q is an integer (q ╪ 0, ±1) and r is a nonzero rational (r ╪ −qn).

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. Number Theory

2. Padé approximants for theq-elementary functions

3. On arithmetical properties of Lambert Series;Erdös;J. Indian Math. Soc. (N.S.),1948

4. [7] Erdös P. and Graham R. L. . Old and New Problems and Results in Combinatorial Number Theory. Enseign. Math. Monograph no. 28 (1980).

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