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Extensions of Schur's irreducibility results
Published 4 Jun 2013 in math.NT | (1306.0754v1)
Abstract: We prove that the generalised Laguerre polynomials $L_{n}{(\alpha)}(x)$ with $0\le \al\le 50$ are irreducible except for finitely many pairs $(n, \al)$ and that these exceptions are necessary. In fact it follows from a more general statement.
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