On the irreducibility of the iterates of

Authors:
Lynda Danielson and Burton Fein

Journal:
Proc. Amer. Math. Soc. **130** (2002), 1589-1596

MSC (2000):
Primary 12E05; Secondary 11D41

DOI:
https://doi.org/10.1090/S0002-9939-01-06258-X

Published electronically:
October 17, 2001

MathSciNet review:
1887002

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a field and suppose that is irreducible in . We discuss the following question: under what conditions are all iterates of irreducible over ?

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Additional Information

**Lynda Danielson**

Affiliation:
Department of Mathematics, Albertson College of Idaho, Caldwell, Idaho 83605

Email:
ldanielson@albertson.edu

**Burton Fein**

Affiliation:
Department of Mathematics, Oregon State University, Corvallis, Oregon 97331

Email:
fein@math.orst.edu

DOI:
https://doi.org/10.1090/S0002-9939-01-06258-X

Keywords:
Iterated polynomial,
irreducible,
generalized Fermat equation,
$abc$-conjecture

Received by editor(s):
April 13, 2000

Received by editor(s) in revised form:
December 20, 2000

Published electronically:
October 17, 2001

Additional Notes:
The second author is grateful for support under NSA Grant MDA904-97-1-0040

Communicated by:
Lance W. Small

Article copyright:
© Copyright 2001
American Mathematical Society