کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8895642 1630351 2018 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Baker-Schmidt theorem for Hausdorff dimensions in finite characteristic
ترجمه فارسی عنوان
قضیه بیکر اشمیت برای ابعاد هوسدورف در ویژگی های
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی
In 1962 Sprindžuk proved Mahler's conjecture in both the real and complex cases (as well as for p-adic numbers and for fields of formal power series over finite fields). Baker gave a generalized result by using a modified version of Sprindžuk's method. Later, Baker and Schmidt derived the Hausdorff dimensions of sets which are defined in terms of approximation by algebraic numbers of bounded degrees by using Baker's theorem. In this article we will prove two analogue theorems in the fields of formal power series over finite fields.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 52, July 2018, Pages 336-360
نویسندگان
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