Böttcher coordinates at wild superattracting fixed points

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  • Stony Brook University (SBU)
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Original languageEnglish
Pages (from-to)1698-1715
Number of pages18
JournalBulletin of the London Mathematical Society
Volume56
Issue number5
Publication statusPublished - 3 May 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, Vol. 56, No. 5, 03.05.2024, p. 1698-1715.

Research output: Contribution to journal › Article › Research › peer review

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