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
✦ LIBER ✦
On a family of hybrid polynomials
✍ Scribed by Dattoli *, G.; Lorenzutta, S.; Ricci, P. E.; Cesarano ‡, C.
- Book ID
- 121201963
- Publisher
- Taylor and Francis Group
- Year
- 2004
- Tongue
- English
- Weight
- 91 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1065-2469
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