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

How to cite


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>.

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},

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 -


  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

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.