کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8899396 1631545 2018 33 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Geometric location of periodic points of 2-ramified power series
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Geometric location of periodic points of 2-ramified power series
چکیده انگلیسی
In this paper we study the geometric location of periodic points of power series defined over fields of positive characteristic p. We find a lower bound for the norm of all nonzero periodic points in the open unit disk of 2-ramified power series. We prove that this bound is optimal for a large class of power series. Our main technical result is a computation of the first significant terms of p-power iterates of 2-ramified power series. As a by-product we obtain a self-contained proof of the characterization of 2-ramified power series.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 465, Issue 2, 15 September 2018, Pages 762-794
نویسندگان
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