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Rational solutions of linear differential equations
Published online by Cambridge University Press: 09 April 2009
Abstract
Let L be a linear differential operator with rational coefficients such that 0 is not an irregular singularity of L and that for sufficiently many p's the equation Lv = 0 has no zero solution mod p. We show that if u is a formal power series whose coefficients are p-adic integers for almost all p and if Lu is rational, then u too is rational.
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- Copyright © Australian Mathematical Society 1989
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