A class of permutation polynomials amongst the Chebyshev polynomials of the second kind has been described by the second author. Cohen has shown that in prime fields of odd order or their degree 2 extensions these are the only examples of such polynomials. In this paper, the authors present new clas
On the Permutation Behaviour of Dickson Polynomials of the Second Kind
β Scribed by Robert S. Coulter; Rex W. Matthews
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 113 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1071-5797
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β¦ Synopsis
The known permutation behaviour of the Dickson polynomials of the second kind in characteristic 3 is expanded and simpli"ed.
2002 Elsevier Science (USA)
π SIMILAR VOLUMES
Properties of second kind polynomials, and, in particular, conditions for second kind measures to be absolutely continuous are investigated. The asymptotic representation for second kind polynomials is obtained. Examples of generalized Jacobi weighted functions are considered. 1995 Academic Press. I
## Abstract We present a set of generators of the full annihilator ideal for the Witt ring of an arbitrary field of characteristic unequal to two satisfying a nonβvanishing condition on the powers of the fundamental ideal in the torsion part of the Witt ring. This settles a conjecture of Ongenae an