A theorem on transcendence of infinite series. II
type: Item
instance of: scholarly article
title: A theorem on transcendence of infinite series. II
zbMATH Open document ID: 1012.11063
published in: Journal of Number Theory
publication date: 2002-08-25T00:00:00Z
review text: The main result of this paper is a criterion for transcendental series consisting of reciprocal natural numbers. The proof is based on Roth's theorem. Some applications for generalised Fibonacci and Lucas numbers are included. For Part I, see Rocky Mt. J. Math. 30, 1111-1120 (2000; Zbl 0972.11063).
Mathematics Subject Classification ID: 11J81
Mathematics Subject Classification ID: 11B37
zbMATH DE Number: 1787787
zbMATH Keywords: infinite series
zbMATH Keywords: transcendental number
zbMATH Keywords: generalised Fibonacci and Lucas numbers
author: Michael A. Nyblom
reviewed by: Jaroslav Hančl
MaRDI profile type: Publication
full work available at URL: jnth.2001.2672
OpenAlex ID: W1976771522
cites work: The irrationality of certain infinite series
cites work: A theorem on irrationality of infinite series and applications
cites work: Irrational sums
cites work: Q4149806
cites work: Problems in analysis
cites work: Q5286020
cites work: An irrational sum
cites work: On the transcendency of the solutions of a special class of functional equations
cites work: Q4308532
cites work: A theorem on transcendence of infinite series
cites work: Q5629711
cites work: Q3333123
DOI: 10.1006/JNTH.2001.2672
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description: scientific article; zbMATH DE number 1787787