Quantitative irrationality for sums of reciprocals of Fibonacci and Lucas numbers

Author： Matala-Aho Tapani   Prévost Marc  

Publisher： Springer Publishing Company

ISSN： 1382-4090

Source： The Ramanujan Journal, Vol.11, Iss.2, 2006-04, pp. : 249-261

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Abstract

Irrationality measures are given for the values of the series , where and Wn is a rational valued Fibonacci or Lucas form, satisfying a second order linear recurrence. In particular, we prove irrationality of all the numbers where fn and ln are the Fibonacci and Lucas numbers, respectively.

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