On the continued fractions of quadratic surds
Acta Arithmetica (1994)
- Volume: 68, Issue: 4, page 295-305
- ISSN: 0065-1036
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topDavid G. Cantor. "On the continued fractions of quadratic surds." Acta Arithmetica 68.4 (1994): 295-305. <http://eudml.org/doc/206663>.
@article{DavidG1994,
author = {David G. Cantor},
journal = {Acta Arithmetica},
keywords = {continued fractions; surds; automata; quadratic surds; bounded partial quotients; formal Laurent series},
language = {eng},
number = {4},
pages = {295-305},
title = {On the continued fractions of quadratic surds},
url = {http://eudml.org/doc/206663},
volume = {68},
year = {1994},
}
TY - JOUR
AU - David G. Cantor
TI - On the continued fractions of quadratic surds
JO - Acta Arithmetica
PY - 1994
VL - 68
IS - 4
SP - 295
EP - 305
LA - eng
KW - continued fractions; surds; automata; quadratic surds; bounded partial quotients; formal Laurent series
UR - http://eudml.org/doc/206663
ER -
References
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- [7] M. Mendès France and A. J. van der Poorten, Some explicit continued fraction expansions, Mathematika 38 (1991), 1-9.
- [8] J. P. Mesirov and M. M. Sweet, Continued fraction expansions of rational expressions with irreducible denominators in characteristic 2, J. Number Theory 27 (1987), 144-148. Zbl0626.10029
- [9] W. H. Mills and D. P. Robbins, Continued fractions for certain algebraic power series, J. Number Theory 23 (1986), 388-404. Zbl0591.10021
- [10] J. Shallit, Real numbers with bounded partial quotients: A survey, Enseign. Math. 38 (1992), 151-187. Zbl0753.11006
- [11] A. J. van der Poorten, Fractions of the period of the continued fraction expansion of quadratic integers, Bull. Austral. Math. Soc. 44 (1991), 155-169. Zbl0733.11004
- [12] A. J. van der Poorten and J. Shallit, Folded continued fractions, J. Number Theory 40 (1992), 237-250. Zbl0753.11005
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