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- W2321869524 abstract "We show that the discriminant of the generalized Laguerre polynomial L n (α) (x) is a non-zero square for some integer pair (n,α), with n≥1, if and only if (n,α) belongs to one of 30 explicitly given infinite sets of pairs or to an additional finite set of pairs. As a consequence, we obtain new information on when the Galois group of L n (α) (x) over ℚ is the alternating group A n . For example, we establish that for all but finitely many positive integers n≡2(mod4), the only α for which the Galois group of L n (α) (x) over ℚ is A n is α=n." @default.
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- W2321869524 date "2013-01-01" @default.
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- W2321869524 title "On classifying Laguerre polynomials which have Galois group the alternating group" @default.
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- W2321869524 doi "https://doi.org/10.5802/jtnb.822" @default.
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