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On the rationality of the logarithmic growth filtration of solutions of $p$-adic differential equations

PU/IAS Number Theory

On the rationality of the logarithmic growth filtration of solutions of $p$-adic differential equations

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Shun Ohkubo, University of Tokyo
Fine Hall 214

Please note special day.  We consider an ordinary linear $p$-adic differential equation Dy=d^ny/dx^n+a_{n-1}d^{n-1}y/dx^{n-1}+\dots+a_0y=0, a_i\in\mathbb{Z}_p[p^{-1}] whose formal solutions in $\mathbb{Q}_p$ converge in the open unit disc $|x|