Farey series and sums of continued fractions. (English) Zbl 0763.11028
Discrete groups and geometry, Proc. Conf., Birmingham/UK 1991, Lond. Math. Soc. Lect. Note Ser. 173, 165-170 (1992).
[For the entire collection see Zbl 0746.00069.]
The author gives an alternative proof of a result obtained by T. W. Cusick [Proc. Am. Math. Soc. 27, 35-38 (1971; Zbl 0212.389)]. The result is: Every real number has a fractional part representable as the sum of two continued fractions with partial quotients not less than 2.
The author gives an alternative proof of a result obtained by T. W. Cusick [Proc. Am. Math. Soc. 27, 35-38 (1971; Zbl 0212.389)]. The result is: Every real number has a fractional part representable as the sum of two continued fractions with partial quotients not less than 2.
Reviewer: G.Larcher (Salzburg)
MSC:
| 11J70 | Continued fractions and generalizations |
| 11B57 | Farey sequences; the sequences \(1^k, 2^k, \dots\) |
