Linear independence results for sums of reciprocals of Fibonacci and Lucas numbers
Linear independence results for sums of reciprocals of Fibonacci and Lucas numbers
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斐波那契数和卢卡斯数倒数之和的线性独立结果
DOI：
10.1007/s10474-020-01060-3
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发表时间：
2020
影响因子：
0.9
通讯作者：
and Y. Tachiya
中科院分区：
文献类型：
--
作者：
D.Duverney;Y. Suzuki;and Y. Tachiya
本文的目的是给出Lambert型级数值的线性无关性结果。作为应用，我们得到了与某些互质序列相关的Fibonacci数和Lucas数的倒数和的算术性质。例如，这三个数在上是线性独立的，其中和分别是斐波那契数和卢卡斯数。
The aim of this paper is to give linear independence results for the values of Lambert type series. As an application, we derive arithmetical properties of the sums of reciprocals of Fibonacci and Lucas numbers associated with certain coprime sequences. For example, the three numbersare linearly independent over, whereandare the Fibonacci and Lucas numbers, respectively.