Quantitative irrationality for sums of reciprocals of Fibonacci and Lucas numbers

被引：9
|
作者：
Matala-Aho, Tapani
Prevost, Marc
机构：
[1] Matemaattisten Tieteiden Laitos, Oulu, Finland
[2] Univ Littoral, Lab Math Pures & Appl, F-62228 Calais, France
来源：
RAMANUJAN JOURNAL | 2006年 / 11卷 / 02期
关键词：
irrationality measure; Pade approximation; cyclotomic polynomial; q-series;
D O I：
10.1007/s11139-006-6511-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Irrationality measures are given for the values of the series Sigma(infinity)(n=0) t(n)/Wan+b, where a, b is an element of Z(+), 1 <= b <= a, (a, b) = 1 and W-n is a rational valued Fibonacci or Lucas form, satisfying a second order linear recurrence. In particular, we prove irrationality of all the numbers [GRAPHICS] where f(n) and l(n) are the Fibonacci and Lucas numbers, respectively.
引用
收藏
页码：249 / 261
页数：13
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