On classifying Laguerre polynomials which have Galois group the alternating group
نویسندگان
چکیده
منابع مشابه
On classifying Laguerre polynomials which have Galois group the alternating group par
We show that the discriminant of the generalized Laguerre polynomial L n (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 (x) over Q is the alternating group An. For example, we e...
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ژورنال
عنوان ژورنال: Journal de Théorie des Nombres de Bordeaux
سال: 2013
ISSN: 1246-7405,2118-8572
DOI: 10.5802/jtnb.822