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Quantitative irrationality for sums of reciprocals of Fibonacci and Lucas numbers

✍ Scribed by Tapani Matala-Aho; Marc Prévost

Publisher
Springer US
Year
2006
Tongue
English
Weight
268 KB
Volume
11
Category
Article
ISSN
1382-4090

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## Abstract Suppose that {__R~n~__}__n__≥0 is a linear recursive sequence and __d__ ≥ 2 is an integer. Under suitable conditions on {__R~n~__} and __d__ we show that and similarly constructed numbers are transcendental. Special attention is given to the case of binary recurrences.