A generalization of Sándor’s theorem using iterated logarithms. (English) Zbl 1220.11087

Hančl, Jaroslav; Rucki, Pavel; Šustek, Jan

Kumamoto J. Math. 19, 25-36 (2006).

The authors prove a theorem dealing with linear independence of special infinite series. The terms of this series consist of rational numbers and converge very rapidly to zero. Their proof uses ideas from the work of J. Sándor [Stud. Univ. Babes-Bolyai, Math. 29, 3–12 (1984; Zbl 0544.10033)] and the work of the first author and S. Sobková [Tsukuba J. Math. 27, No. 2, 341–357 (2003; Zbl 1057.11035)].

Reviewer: Olaf Ninnemann (Berlin)

MSC:

11J72

Irrationality; linear independence over a field

Citations:

Zbl 0544.10033; Zbl 1057.11035