Transcendency Results for Sums of Reciprocals of Linear Recurrences
Transcendency Results for Sums of Reciprocals of Linear Recurrences
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线性递推倒数和的超越结果
DOI：
10.1002/mana.19941680102
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发表时间：
1994
影响因子：
1
通讯作者：
Thomas Töpper
中科院分区：
文献类型：
--
作者：
P. Becker;Thomas Töpper
设{Rn}n≥0为线性递归序列，d≥2为整数。在{Rn}和d的适当条件下，我们证明了
Suppose that {Rn}n≥0 is a linear recursive sequence and d ≥ 2 is an integer. Under suitable conditions on {Rn} and d we show that
and similarly constructed numbers are transcendental. Special attention is given to the case of binary recurrences.