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Dickson Polynomials of the Second Kind that are Permutations

Published online by Cambridge University Press:  20 November 2018

Stephen D. Cohen
Stephen D. Cohen*
Affiliation:
Department of Mathematics University of Glasgow Glasgow G12 8QW Scotland
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Abstract

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It is known that the Dickson polynomial of the second kind permutes the elements of the finite prime field (p odd) when n + 1 = ±2 to each of the moduli and . Based on numerical evidence it has been conjectured that these congruences are necessary for the polynomial to permute . The conjecture is established here by a new method

Keywords

11T06
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 46 , Issue 2 , 01 April 1994 , pp. 225 - 238
Copyright
Copyright © Canadian Mathematical Society 1994

References

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