Some Diophantine approximation results concerning linear recurrences
Mathematica Slovaca (1992)
- Volume: 42, Issue: 5, page 583-591
- ISSN: 0139-9918
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topJones, James P., and Kiss, Péter. "Some Diophantine approximation results concerning linear recurrences." Mathematica Slovaca 42.5 (1992): 583-591. <http://eudml.org/doc/34349>.
@article{Jones1992,
author = {Jones, James P., Kiss, Péter},
journal = {Mathematica Slovaca},
keywords = {irrational number; approximation to square roots; best approximation; second order linear recurrences; continued fraction},
language = {eng},
number = {5},
pages = {583-591},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Some Diophantine approximation results concerning linear recurrences},
url = {http://eudml.org/doc/34349},
volume = {42},
year = {1992},
}
TY - JOUR
AU - Jones, James P.
AU - Kiss, Péter
TI - Some Diophantine approximation results concerning linear recurrences
JO - Mathematica Slovaca
PY - 1992
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 42
IS - 5
SP - 583
EP - 591
LA - eng
KW - irrational number; approximation to square roots; best approximation; second order linear recurrences; continued fraction
UR - http://eudml.org/doc/34349
ER -
References
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- KISS P., TICHY R. F., A discrepancy problem with applications to linear recurrences I, II, Proc. Japan Acad. Ser. A Math. Sci. 65 (1989), 135-138, 191-194. (1989) Zbl0692.10041MR1011853
- LEHMER D. H., An extended theory of Lucas' functions, Aпn. of Math. 31 (1930), 419-448. (1930) MR1502953
- LUCAS E., Thorie des fonctions numériques simplement périodiques, Amer. J. Math. 1 (1878), 184-240, 289-321. English translation: The Fibonacci Association, Santa Claгa University, CA. 95053, (1969). (1969) MR1505176
- MÁTYÁS F., On the ratios of the terms of second order linear recurrences, (Hungarian). Mat. Lapok 27 (1976-1979), 379-389. (1976) MR0553555
- NIVEN I., ZUCKERMAN H. S., MONTGOMERY H. L., An introduction to the Theory of Numbers, 5th edition. J. Wiley & Sons Inc., New York, 1991. (1991) Zbl0742.11001MR1083765
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