Minoration de la période du développement de √(a²n²+bn+c) en fraction continue

Ahmed Farhane

Acta Arithmetica (1994)

  • Volume: 67, Issue: 1, page 63-67
  • ISSN: 0065-1036

How to cite

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Ahmed Farhane. "Minoration de la période du développement de √(a²n²+bn+c) en fraction continue." Acta Arithmetica 67.1 (1994): 63-67. <http://eudml.org/doc/206618>.

@article{AhmedFarhane1994,
author = {Ahmed Farhane},
journal = {Acta Arithmetica},
keywords = {period length; continued fraction},
language = {fre},
number = {1},
pages = {63-67},
title = {Minoration de la période du développement de √(a²n²+bn+c) en fraction continue},
url = {http://eudml.org/doc/206618},
volume = {67},
year = {1994},
}

TY - JOUR
AU - Ahmed Farhane
TI - Minoration de la période du développement de √(a²n²+bn+c) en fraction continue
JO - Acta Arithmetica
PY - 1994
VL - 67
IS - 1
SP - 63
EP - 67
LA - fre
KW - period length; continued fraction
UR - http://eudml.org/doc/206618
ER -

References

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  1. [1] E. Dubois et R. Paysant Le Roux, Sur la longueur du développement en fraction continue de √f(n), Astérisque 198-199-200 (1991), 107-109. Zbl0763.11026
  2. [2] A. Farhane, Sur la longueur du développement de √(n²+h) en fraction continue, C. R. Acad. Sci. Paris Sér. I 316 (1993), 537-540. Zbl0780.11006
  3. [3] L. K. Hua, Introduction to Number Theory, Springer, 1982. 
  4. [4] S. Louboutin, Une version effective d'un théorème de A. Schinzel sur longueurs des périodes de certains développements en fractions continues, C. R. Acad. Sci. Paris Sér. I 308 (1989), 511-513. Zbl0676.10021
  5. [5] A. Schinzel, On some problems of the arithmetical theory of continued fractions, Acta Arith. 6 (1961), 393-413. Zbl0099.04003

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