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Title: Polynomial cycles in finite extension fields (English)
Author: Halter-Koch, Franz
Author: Konečná, Petra
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 52
Issue: 5
Year: 2002
Pages: 531-535
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Category: math
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MSC: 11C08
MSC: 11T06
idZBL: Zbl 1028.11014
idMR: MR1963443
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Date available: 2009-09-25T14:11:05Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/129059
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Reference: [1] DIVIŠOVÁ Z.: On cycles of polynomials with integral rational coefficients.Math. Slovaca 52 (2002), 537-540. Zbl 1028.11064, MR 1963444
Reference: [2] HALTER-KOCH F.-NARKIEWICZ W.: Scarcity of finite polynomial orbits.Publ. Math. Debrecen 56 (2000), 405-414. Zbl 0961.11005, MR 1765989
Reference: [3] KOSTRA J.: On orbits in ambiguous ideals.Acta Acad. Paed. Agriensis, Sect. Math. 29 (2002) (To appear). Zbl 1017.11012, MR 1956576
Reference: [4] LANG S.: Algebra.Addison-Wesley, New York, 1993. Zbl 0848.13001, MR 0197234
Reference: [5] LIDL R.-NIEDERREITER H.: Finite Fields.Encyclopedia of Mathematics and its Applications 20, Cambridge University Press, Cambridge, 1997. MR 1429394
Reference: [(3] NARKIEWICZ W.: Polynomial Mappings.Lecture Notes in Mathematics 1600, Springer, New York, 1995. Zbl 0829.11002, MR 1367962
Reference: [7] NARKIEWICZ W.: Arithmetics of dynamical systems: A survey.Tatra Mt. Math. Publ. 11 (1997), 69-75. Zbl 0978.11008, MR 1475506
Reference: [8] NARKIEWICZ W.: Finite polynomial orbits: A survey.In: Algebraic Number Theory and Diophantine Analysis. (F. Halter-Koch, R. Tichy, eds.), Proceedings of the International Conference, Graz, Austria, August 30-September, Walter de Gruyter, Berlin, 2000, pp. 331-338. Zbl 0971.11008, MR 1770471
Reference: [9] NARKIEWICZ W.: Problem 9 in The Problem Session on The 3rd Czech and Polish Conference on Number Theory.Acta Math. Inform. Univ. Ostraviensis 8 (2000), 9. MR 1800217
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