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On the Dunkl Version of Monogenic Polynomials

✍ Scribed by Chokri Yacoub


Publisher
Springer
Year
2011
Tongue
English
Weight
250 KB
Volume
21
Category
Article
ISSN
0188-7009

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Lenstra′s Proof of the Carlitz-Wan Conje
✍ S.D. Cohen; M.D. Fried 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 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