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An elementary proof of the Jury test for real polynomials

✍ Scribed by Younseok Choo

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
202 KB
Volume
47
Category
Article
ISSN
0005-1098

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✍ S.D. Cohen; M.D. Fried πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 167 KB

We give a proof, following an argument of Lenstra, of the conjecture of Carlitz (1966) as generalized by Wan (1993). This says that there are no exceptional polynomials of degree \(n\) over \(\mathbb{F}_{q}\) if \((n, q-1)>1\). Fried, Guralnick, and Saxl previously proved Carlitz's conjecture: there