Geodesic
Some Diophantine approximation results concerning linear recurrences
Mathematica slovaca, Tome 42 (1992) no. 5, pp. 583-591
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 11B39, 11J68 
@article{MASLO_1992_42_5_a4,
     author = {Jones, James P. and Kiss, P\'eter},
     title = {Some {Diophantine} approximation results concerning linear recurrences},
     journal = {Mathematica slovaca},
     pages = {583--591},
     year = {1992},
     volume = {42},
     number = {5},
     mrnumber = {1202175},
     zbl = {0770.11035},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1992_42_5_a4/}
}
TY  - JOUR
AU  - Jones, James P.
AU  - Kiss, Péter
TI  - Some Diophantine approximation results concerning linear recurrences
JO  - Mathematica slovaca
PY  - 1992
SP  - 583
EP  - 591
VL  - 42
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/MASLO_1992_42_5_a4/
LA  - en
ID  - MASLO_1992_42_5_a4
ER  - 
%0 Journal Article
%A Jones, James P.
%A Kiss, Péter
%T Some Diophantine approximation results concerning linear recurrences
%J Mathematica slovaca
%D 1992
%P 583-591
%V 42
%N 5
%U http://geodesic.mathdoc.fr/item/MASLO_1992_42_5_a4/
%G en
%F MASLO_1992_42_5_a4
Jones, James P.; Kiss, Péter. Some Diophantine approximation results concerning linear recurrences. Mathematica slovaca, Tome 42 (1992) no. 5, pp. 583-591. http://geodesic.mathdoc.fr/item/MASLO_1992_42_5_a4/

[1] JARDEN D.: Recurring sequences. Riveon Lematematika, Jerusalem (Israel) (1973).

[2] KISS P.: A Diophantine approximative property of the second order linear recurrences. Period. Math. Hungar. 11 (1980), 281-287. | MR | Zbl

[3] KISS P.: On second order recurrences and continued fractions. Bull. Malaysian Math. Soc. (2) 5 (1982), 33-41. | MR

[4] KISS P., SINKA Z.: On the ratios of the terms of sccond order linear recurrences. Period. Math. Hungar. 23 (1991), 139-143. | MR

[5] 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. | MR | Zbl

[6] LEHMER D. H.: An extended theory of Lucas' functions. Aпn. of Math. 31 (1930), 419-448. | MR

[7] 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). | MR

[8] MÁTYÁS F.: On the ratios of the terms of second order linear recurrences. (Hungarian). Mat. Lapok 27 (1976-1979), 379-389. | MR

[9] NIVEN I., ZUCKERMAN H. S., MONTGOMERY H. L.: An introduction to the Theory of Numbers. 5th edition. J. Wiley & Sons Inc., New York, 1991. | MR | Zbl