Böttcher coordinates at wild superattracting fixed points

authored by: Hang Fu, Hongming Nie
Abstract: Let (Formula presented.) be a prime number, let (Formula presented.) with (Formula presented.), and let (Formula presented.) be the Böttcher coordinate satisfying (Formula presented.). Salerno and Silverman conjectured that the radius of convergence of (Formula presented.) in (Formula presented.) is (Formula presented.). In this article, we confirm that this conjecture is true by showing that it is a special case of our more general result.
Organisation(s): Institute of Algebra, Number Theory and Discrete Mathematics
External Organisation(s): Stony Brook University (SBU)
Type: Article
Journal: Bulletin of the London Mathematical Society
Volume: 56
Pages: 1698-1715
No. of pages: 18
ISSN: 0024-6093
Publication date: 03.05.2024
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: General Mathematics
Electronic version(s): https://doi.org/10.48550/arXiv.2304.07867 (Access: Open)
https://doi.org/10.1112/blms.13021 (Access: Open)