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Desingularization of Ore Operators (1408.5512v1)
Published 23 Aug 2014 in cs.SC and math.AC
Abstract: We show that Ore operators can be desingularized by calculating a least common left multiple with a random operator of appropriate order. Our result generalizes a classical result about apparent singularities of linear differential equations, and it gives rise to a surprisingly simple desingularization algorithm.