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Uniqueness of certain polynomials constant on a line

✍ Scribed by Jiří Lebl; Daniel Lichtblau

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
208 KB
Volume
433
Category
Article
ISSN
0024-3795

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📜 SIMILAR VOLUMES

On a certain family of generalized Lague
On a certain family of generalized Laguerre polynomials
✍ Elizabeth A Sell 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 261 KB

Following the work of Schur and Coleman, we prove the generalized Laguerre polynomial x j is irreducible over the rationals for all nX1 and has Galois group A n if n þ 1 is an odd square, and S n otherwise. We also show that for certain negative integer values of a and certain congruence classes of