On reciprocal sums of terms of linear recurrences. (English) Zbl 0776.11032

Hančl, Jaroslav; Kiss, Peter

Math. Slovaca 43, No. 1, 31-37 (1993).

The authors prove an irrationality result for the sum of the infinite series whose terms are reciprocals of a recurrent generated sequence of order \(k\), greater than one and two results for the case \(k=2\). Other related results were proved recently by the reviewer [Acta Arith. 63, 313-323 (1993; Zbl 0770.11036)] and by W. L. McDaniel in a paper to appear in Fibonacci Q.

Reviewer: C.Badea (Orsay)

MSC:

11J72	Irrationality; linear independence over a field
11B37	Recurrences

Keywords:

reciprocal sums; linear recurrences; irrationality

Citations:

Zbl 0770.11036

References:

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