Small denominators in complex \(p\)-adic dynamics (Q1602599)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Small denominators in complex \(p\)-adic dynamics |
scientific article; zbMATH DE number 1758183
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Small denominators in complex \(p\)-adic dynamics |
scientific article; zbMATH DE number 1758183 |
Statements
Small denominators in complex \(p\)-adic dynamics (English)
0 references
23 June 2002
0 references
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.
0 references
\(p\)-adic dynamics
0 references
small denominators
0 references
arithmetic dynamics
0 references
0 references
0 references
0 references
