Transcendence of reciprocal sums of binary recurrences-Reference-Cited by-同舟云学术

Transcendence of reciprocal sums of binary recurrences

Published:2008-10-22 Issue:4 Volume:157 Page:323-334
ISSN:0026-9255
Container-title:Monatshefte für Mathematik
language:en
Short-container-title:Monatsh Math

Author:

Kanoko Tomoaki,Kurosawa Takeshi,Shiokawa Iekata

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00605-008-0073-z.pdf

Reference10 articles.

1. Becker P.-G., Töpfer T.: Transcendency results for sums of reciprocals of linear recurrences. Math. Nachr. 168, 5–17 (1994)

2. Bundschuh P., Pethö A.: Zur Transzendenz gewisser Reihen. Monatsh. Math. 104, 199–223 (1987)

3. Duverney D.: Irrationality of fast converging series of rational numbers. J. Math. Sci. Tokyo 8, 275–316 (2001)

4. Duverney D., Kanoko T., Tanaka T.: Transcendence of certain reciprocal sums of linear recurrences. Monatsh. Math. 137, 115–128 (2002)

5. Duverney D., Shiokawa I.: On series involving Fibonacci and Lucas numbers I. In: Komatsu, T.(eds) Diophantine Analysis and Related Fields. pp. 62–76. Amer Inst of Physics, New York (2008)

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