Böttcher coordinates at wild superattracting fixed points

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Hang Fu
  • Hongming Nie

Organisationseinheiten

Externe Organisationen

  • Stony Brook University (SBU)
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Details

OriginalspracheEnglisch
Seiten (von - bis)1698-1715
Seitenumfang18
FachzeitschriftBulletin of the London Mathematical Society
Jahrgang56
Ausgabenummer5
PublikationsstatusVeröffentlicht - 3 Mai 2024

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.

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Böttcher coordinates at wild superattracting fixed points. / Fu, Hang; Nie, Hongming.
in: Bulletin of the London Mathematical Society, Jahrgang 56, Nr. 5, 03.05.2024, S. 1698-1715.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Fu H, Nie H. Böttcher coordinates at wild superattracting fixed points. Bulletin of the London Mathematical Society. 2024 Mai 3;56(5):1698-1715. doi: 10.48550/arXiv.2304.07867, 10.1112/blms.13021
Fu, Hang ; Nie, Hongming. / Böttcher coordinates at wild superattracting fixed points. in: Bulletin of the London Mathematical Society. 2024 ; Jahrgang 56, Nr. 5. S. 1698-1715.
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