Small denominators in complex \(p\)-adic dynamics
The author considers the problem of small denominators for analytic maps of the algebraic closure of a \(p\)-adic field. The size of the coefficients of the power series that conjugates a map with a neutral fixed point to its linear part is estimated. Such estimate is optimal, leading to an expression for the radius of the Siegel disc. The computation is more involved than in the \(p\)-adic case.
scientific article; zbMATH DE number 1758183
scientific article