Periods of Maps on Irreducible Polynomials over Finite Fields

Finite Fields and their Applications

Volumn 3, Issue 1, 1997, Pages 11-24

  Morton, Patrick ^a  

^a WELLESLEY COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013416399     PISSN: 10715797     EISSN: None     Source Type: Journal    
DOI: 10.1006/ffta.1996.0168     Document Type: Article

References (10)

1. Batra A., Morton P. Algebraic dynamics of polynomial maps on the algebraic closure of a finite field, I. Rocky Mountain J. Math. 24:1994;453-481.
2. Batra A., Morton P. Algebraic dynamics of polynomial maps on the algebraic closure of a finite field, II. Rocky Mountain J. Math. 24:1994;905-932.
3. Carlitz L. A class of polynomials. Trans. Amer. Math. Soc. 43:1938;167-182.
4. Hayes D. Explicit class field theory for rational function fields. Trans. Amer. Math. Soc. 189:1974;77-91.
5. Lenstra H. W. Jr. On Artin's conjecture and Euclid's algorithm in global fields. Invent. Math. 42:1977;201-224.
6. Morton P., Patel P. The Galois theory of periodic points of polynomial maps. Proc. London Math. Soc. 68:1994;225-263.
7. Morton P., Silverman J. Periodic points, multiplicities and dynamical units. J. Reine Angew. Math. 461:1995;81-122.
8. Neukirch J. Algebraische Zahlentheorie. 1992;Springer-Verlag, Berlin.
9. Stichtenoth H. Algebraic Function Fields and Codes. 1993;Springer-Verlag, Berlin.
10. Vivaldi F. Dynamics over irreducible polynomials. Nonlinearity. 5:1992;941-960.