On cycles of polynomials with integral rational coefficients

Zuzana Divišová

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 5, page 537-540
  • ISSN: 0139-9918

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Divišová, Zuzana. "On cycles of polynomials with integral rational coefficients." Mathematica Slovaca 52.5 (2002): 537-540. <http://eudml.org/doc/34563>.

@article{Divišová2002,
author = {Divišová, Zuzana},
journal = {Mathematica Slovaca},
keywords = {polynomial cycle; ring of integers; cyclic fields},
language = {eng},
number = {5},
pages = {537-540},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On cycles of polynomials with integral rational coefficients},
url = {http://eudml.org/doc/34563},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Divišová, Zuzana
TI - On cycles of polynomials with integral rational coefficients
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 5
SP - 537
EP - 540
LA - eng
KW - polynomial cycle; ring of integers; cyclic fields
UR - http://eudml.org/doc/34563
ER -

References

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  1. BODUCH J., Polynomial Cycles in Rings of Algebraic Integers, MA Thesis, Wroclaw University, 1990. (1990) 
  2. HALTER-KOCH F.-NARKIEWICZ W., Scarity of finite polynomial orbits, Publ. Math. 56 (2000), 405-414. MR1765989
  3. HALTER-KOCH F.-KONEČNÁ P., Polynomial cycles in finite extension fields, Math. Slovaca 52 (2002), 531-535. Zbl1028.11014MR1963443
  4. KOSTRA J., On orbits in ambiguous ideals, Acta Acad. Paed. Agriensis, Sect. Math. 29 (2002) (To appear). Zbl1017.11012MR1956576
  5. MORTON P., Arithmetic properties of periodic points of quadratic maps, Acta Arith. 62 (1992), 343-372. (1992) Zbl0767.11016MR1199627
  6. NARKIEWICZ W., Polynomial Mappings, Lecture Notes in Math. 1600, Springer-Verlag, Berlin-Heidelberg, 1995. (1995) Zbl0829.11002MR1367962
  7. NARKIEWICZ W., Polynomial cycles in algebraic number fields, Colloq. Math. 58 (1989), 151-155. (1989) Zbl0703.12002MR1028168
  8. PEZDA T., Cycles of polynomials in algebraically closed fields of positive characteristics, Colloq. Math. 67 (1994), 187-195. (1994) MR1305211
  9. PEZDA T., Cycles of polynomials in algebraically closed fields of positive characteristics II, Colloq. Math. 71 (1996), 23-30. (1996) MR1397363
  10. PEZDA T., Polynomial cycles in certain local domains, Acta Arith. 66 (1994), 11-22. (1994) Zbl0803.11063MR1262650
  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. (1994) MR1270956
  12. VAVROS M., A note on polynomial cycles, (Submitted). Zbl1053.11021

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