| Title:
|
Some Diophantine approximation results concerning linear recurrences (English) |
| Author:
|
Jones, James P. |
| Author:
|
Kiss, Péter |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
42 |
| Issue:
|
5 |
| Year:
|
1992 |
| Pages:
|
583-591 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11B39 |
| MSC:
|
11J68 |
| idZBL:
|
Zbl 0770.11035 |
| idMR:
|
MR1202175 |
| . |
| Date available:
|
2009-09-25T10:43:49Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136567 |
| . |
| Reference:
|
[1] JARDEN D.: Recurring sequences.Riveon Lematematika, Jerusalem (Israel) (1973). |
| Reference:
|
[2] KISS P.: A Diophantine approximative property of the second order linear recurrences.Period. Math. Hungar. 11 (1980), 281-287. Zbl 0458.10011, MR 0603396 |
| Reference:
|
[3] KISS P.: On second order recurrences and continued fractions.Bull. Malaysian Math. Soc. (2) 5 (1982), 33-41. MR 0683809 |
| Reference:
|
[4] KISS P., SINKA Z.: On the ratios of the terms of sccond order linear recurrences.Period. Math. Hungar. 23 (1991), 139-143. MR 1142515 |
| Reference:
|
[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. Zbl 0692.10041, MR 1011853 |
| Reference:
|
[6] LEHMER D. H.: An extended theory of Lucas' functions.Aпn. of Math. 31 (1930), 419-448. MR 1502953 |
| Reference:
|
[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 1505176 |
| Reference:
|
[8] MÁTYÁS F.: On the ratios of the terms of second order linear recurrences.(Hungarian). Mat. Lapok 27 (1976-1979), 379-389. MR 0553555 |
| Reference:
|
[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. Zbl 0742.11001, MR 1083765 |
| . |
