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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Aliev, 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

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  1. [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. [2] E. Landau, Handbuch der Lehre von der Verteilung der Primzahlen, reprint Chelsea, 1953. 
  3. [3] J. Lehner and M. Newman, Sums involving Farey fractions, Acta Arith. 15 (1969), 181-187. Zbl0176.32304
  4. [4] B. A. Venkov, Elementary Number Theory, Wolters-Noordhoff, 1970. 
  5. [5] A. Walfisz, Weylsche Exponentialsummen in der neueren Zahlentheorie, Deutscher Verlag Wiss., Berlin, 1963. Zbl0146.06003

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