Bundschuh, Peter and Vaananen, Keijo (2016). Some Arithmetical Results on Reciprocal Sums of Certain Fibonacci-Type Numbers. Southeast Asian Bull. Math., 40 (6). S. 797 - 815. KUNMING: SOUTHEAST ASIAN MATHEMATICAL SOC-SEAMS. ISSN 0219-175X
Full text not available from this repository.Abstract
First, closed form evaluations of series generalizing Sigma 1/F-2k, are resumed. Next, transcendence proofs of Sigma 1/F-dk for integers d > 2 by Roth's approximation theorem, or by Mahler's analytic method are recalled. This second method leads to far-reaching transcendence and algebraic independence results on series, where the Fibonaccis F-n are replaced by more general expressions. These questions, making up the greatest part of the work, include studies of the transcendence over C(z) of the solutions of certain functional equations.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-288256 | ||||||||||||
Journal or Publication Title: | Southeast Asian Bull. Math. | ||||||||||||
Volume: | 40 | ||||||||||||
Number: | 6 | ||||||||||||
Page Range: | S. 797 - 815 | ||||||||||||
Date: | 2016 | ||||||||||||
Publisher: | SOUTHEAST ASIAN MATHEMATICAL SOC-SEAMS | ||||||||||||
Place of Publication: | KUNMING | ||||||||||||
ISSN: | 0219-175X | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Faculty of Mathematics and Natural Sciences | ||||||||||||
Divisions: | Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute | ||||||||||||
Subjects: | no entry | ||||||||||||
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Refereed: | Yes | ||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/28825 |
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