TY - JOUR
T1 - Böttcher coordinates at wild superattracting fixed points
AU - Fu, Hang
AU - Nie, Hongming
N1 - Publisher Copyright:
© 2024 The Authors. Bulletin of the London Mathematical Society is copyright © London Mathematical Society.
PY - 2024/5/3
Y1 - 2024/5/3
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85187451095&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2304.07867
DO - 10.48550/arXiv.2304.07867
M3 - Article
AN - SCOPUS:85187451095
VL - 56
SP - 1698
EP - 1715
JO - Bulletin of the London Mathematical Society
JF - Bulletin of the London Mathematical Society
SN - 0024-6093
IS - 5
ER -