# On the metric theory of continued fractions

I. Aliev; S. Kanemitsu; A. Schinzel

Colloquium Mathematicae (1998)

- Volume: 77, Issue: 1, page 141-145
- ISSN: 0010-1354

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topAliev, I., Kanemitsu, S., and Schinzel, A.. "On the metric theory of continued fractions." Colloquium Mathematicae 77.1 (1998): 141-145. <http://eudml.org/doc/210572>.

@article{Aliev1998,

author = {Aliev, I., Kanemitsu, S., Schinzel, A.},

journal = {Colloquium Mathematicae},

keywords = {metric theory; continued fractions; Farey sequence},

language = {eng},

number = {1},

pages = {141-145},

title = {On the metric theory of continued fractions},

url = {http://eudml.org/doc/210572},

volume = {77},

year = {1998},

}

TY - JOUR

AU - Aliev, I.

AU - Kanemitsu, S.

AU - Schinzel, A.

TI - On the metric theory of continued fractions

JO - Colloquium Mathematicae

PY - 1998

VL - 77

IS - 1

SP - 141

EP - 145

LA - eng

KW - metric theory; continued fractions; Farey sequence

UR - http://eudml.org/doc/210572

ER -

## References

top- [1] P. Kargaev and A. Zhigljavsky, Asymptotic distribution of the distance function to the Farey points, J. Number Theory 65 (1997), 130-149. Zbl0931.11028
- [2] E. Landau, Handbuch der Lehre von der Verteilung der Primzahlen, reprint Chelsea, 1953.
- [3] J. Lehner and M. Newman, Sums involving Farey fractions, Acta Arith. 15 (1969), 181-187. Zbl0176.32304
- [4] B. A. Venkov, Elementary Number Theory, Wolters-Noordhoff, 1970.
- [5] A. Walfisz, Weylsche Exponentialsummen in der neueren Zahlentheorie, Deutscher Verlag Wiss., Berlin, 1963. Zbl0146.06003

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