Geodesic
Proof of a Conjecture of Chowla and Zassenhaus on Permutation Polynomials
Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 230-234

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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 .
DOI : 10.4153/CMB-1990-036-3
Mots-clés : 12C05 
Cohen, Stephen D. Proof of a Conjecture of Chowla and Zassenhaus on Permutation Polynomials. Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 230-234. doi: 10.4153/CMB-1990-036-3
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     author = {Cohen, Stephen D.},
     title = {Proof of a {Conjecture} of {Chowla} and {Zassenhaus} on {Permutation} {Polynomials}},
     journal = {Canadian mathematical bulletin},
     pages = {230--234},
     year = {1990},
     volume = {33},
     number = {2},
     doi = {10.4153/CMB-1990-036-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-036-3/}
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