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Proof of a Conjecture of Chowla and Zassenhaus on Permutation Polynomials

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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The following conjecture of Chowla and Zassenhaus ( 1968) is proved. If f(x) is an integral polynomial of degree ≧ 2 and p is a sufficiently large prime for which f (considered modulo p) is a permutation polynomial of the finite prime field Fp, then for no integer c with 1 ≦ c < p is f(x) + cx a permutation polynomial of Fp.

Keywords

12C05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 2 , 01 June 1990 , pp. 230 - 234
Copyright
Copyright © Canadian Mathematical Society 1990

References

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