most citedAn ultrametric version of the Maillet-Malgrange theorem for nonlinear q-difference equations

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math.NT2007★ 9 cited

Continuity of the radius of convergence of p-adic differential equations on Berkovich analytic spaces

Francesco Baldassarri, Lucia Di Vizio

We consider a vector bundle with integrable connection (\cE,\na) on an analytic domain U in the generic fiber \cX_η of a smooth formal p-adic scheme \cX, in the sense of Berkovich.…

math.NT2002

Introduction to p-adic q-difference equations (weak Frobenius structure and transfer theorems)

Lucia Di Vizio

Inspired by the theory of p-adic differential equations, this paper introduces an analogous theory for q-difference equations over a local field, when |q|=1. We define some basic c…