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

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_{n1}d^{n1}y/dx^{n1}+\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