On the metric theory of continued fractions

Joël Rivat

Colloquium Mathematicae (1999)

  • Volume: 79, Issue: 1, page 9-15
  • ISSN: 0010-1354

How to cite


Rivat, Joël. "On the metric theory of continued fractions." Colloquium Mathematicae 79.1 (1999): 9-15. <http://eudml.org/doc/210631>.

author = {Rivat, Joël},
journal = {Colloquium Mathematicae},
keywords = {Lebesgue measure; irrational numbers; continued fraction},
language = {eng},
number = {1},
pages = {9-15},
title = {On the metric theory of continued fractions},
url = {http://eudml.org/doc/210631},
volume = {79},
year = {1999},

AU - Rivat, Joël
TI - On the metric theory of continued fractions
JO - Colloquium Mathematicae
PY - 1999
VL - 79
IS - 1
SP - 9
EP - 15
LA - eng
KW - Lebesgue measure; irrational numbers; continued fraction
UR - http://eudml.org/doc/210631
ER -


  1. [1] I. Aliev, S. Kanemitsu and A. Schinzel, On the metric theory of continued fractions, Colloq. Math. 77 (1998), 141-146. Zbl0904.11021
  2. [2] P. Kargaev and A. Zhigljavsky, Asymptotic distribution of the distance function to the Farey points, J. Number Theory 65 (1997), 130-149. Zbl0931.11028
  3. [3] E. Landau, Handbuch der Lehre von der Verteilung der Primzahlen, Teubner, Leipzig, 1909; reprinted by Chelsea, New York, 1953. Zbl40.0232.08
  4. [4] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, revised by D. R. Heath-Brown, second ed., Oxford Univ. Press, New York, 1986. Zbl0601.10026
  5. [5] A. Walfisz, Weylsche Exponentialsummen in der neueren Zahlentheorie, Deutscher Verlag Wiss., Berlin, 1963. Zbl0146.06003

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