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On a certain family of inverse ternary cyclotomic polynomials

✍ Scribed by Bzdȩga, Bartłomiej


Book ID
122134877
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
239 KB
Volume
141
Category
Article
ISSN
0022-314X

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On a certain family of generalized Lague
✍ 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