| Title:
|
On cycles of polynomials with integral rational coefficients (English) |
| Author:
|
Divišová, Zuzana |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
52 |
| Issue:
|
5 |
| Year:
|
2002 |
| Pages:
|
537-540 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11C08 |
| MSC:
|
11R04 |
| idZBL:
|
Zbl 1028.11064 |
| idMR:
|
MR1963444 |
| . |
| Date available:
|
2009-09-25T14:11:12Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136871 |
| . |
| Reference:
|
[1] BODUCH J.: Polynomial Cycles in Rings of Algebraic Integers.MA Thesis, Wroclaw University, 1990. |
| Reference:
|
[2] HALTER-KOCH F.-NARKIEWICZ W.: Scarity of finite polynomial orbits.Publ. Math. 56 (2000), 405-414. MR 1765989 |
| Reference:
|
[3] HALTER-KOCH F.-KONEČNÁ P.: Polynomial cycles in finite extension fields.Math. Slovaca 52 (2002), 531-535. Zbl 1028.11014, MR 1963443 |
| Reference:
|
[4] KOSTRA J.: On orbits in ambiguous ideals.Acta Acad. Paed. Agriensis, Sect. Math. 29 (2002) (To appear). Zbl 1017.11012, MR 1956576 |
| Reference:
|
[5] MORTON P.: Arithmetic properties of periodic points of quadratic maps.Acta Arith. 62 (1992), 343-372. Zbl 0767.11016, MR 1199627 |
| Reference:
|
[6] NARKIEWICZ W.: Polynomial Mappings.Lecture Notes in Math. 1600, Springer-Verlag, Berlin-Heidelberg, 1995. Zbl 0829.11002, MR 1367962 |
| Reference:
|
[7] NARKIEWICZ W.: Polynomial cycles in algebraic number fields.Colloq. Math. 58 (1989), 151-155. Zbl 0703.12002, MR 1028168 |
| Reference:
|
[8] PEZDA T.: Cycles of polynomials in algebraically closed fields of positive characteristics.Colloq. Math. 67 (1994), 187-195. MR 1305211 |
| Reference:
|
[9] PEZDA T.: Cycles of polynomials in algebraically closed fields of positive characteristics II.Colloq. Math. 71 (1996), 23-30. MR 1397363 |
| Reference:
|
[10] PEZDA T.: Polynomial cycles in certain local domains.Acta Arith. 66 (1994), 11-22. Zbl 0803.11063, MR 1262650 |
| Reference:
|
[11] RUSSO P.-WALDE R.: Rational periodic points of the quadratic function $Q_c(x) = x^2 + c$.Amer. Math. Monthly 101 (1994), 318-331. MR 1270956 |
| Reference:
|
[12] VAVROS M.: A note on polynomial cycles.(Submitted). Zbl 1053.11021 |
| . |
