کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4673011 | 1346605 | 2012 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the distribution of certain Pisot numbers
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A Pisot number θθ is said to be simple if the beta-expansion of its fractional part, in base θθ, is finite. Let PP be the set of such numbers, and S∖PS∖P be the complement of PP in the set SS of Pisot numbers. We show several results about the derived sets of PP and of S∖PS∖P. A Pisot number θθ, with degree greater than 1, is said to be strong, if it has a proper real positive conjugate which is greater than the modulus of the remaining conjugates of θθ. The set, say XX, of such numbers has been defined by Boyd (1993) [5], and is contained in S∖PS∖P. We also prove that the infimum of the jj-th derived set of XX, where jj runs through the set of positive rational integers, is at most j+2j+2.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Indagationes Mathematicae - Volume 23, Issue 3, September 2012, Pages 318–326
Journal: Indagationes Mathematicae - Volume 23, Issue 3, September 2012, Pages 318–326
نویسندگان
Toufik Zaïmi,