کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5777860 1633051 2017 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
IP⁎-sets in function field and mixing properties
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
IP⁎-sets in function field and mixing properties
چکیده انگلیسی
The ring of polynomial over a finite field Fq[x] has received much attention, both from a combinatorial viewpoint as in regards to its action on measurable dynamical systems. In the case of (Z,+) we know that the ideal generated by any nonzero element is an IP⁎-set. In the present article we first establish that the analogous result is true for Fq[x]. We further use this result to establish some mixing properties of the action of (Fq[x],+). We shall also discuss on Khintchine's recurrence for the action of (Fq[x]∖{0},⋅).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 228, 1 September 2017, Pages 294-302
نویسندگان
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