A density result concerning inverse polynomial images
نویسندگان
چکیده
منابع مشابه
M-sectable Angles and the Density of Polynomial Images
Let K be an algebraic number field with integer ring OK and f a polynomial of degree > 1 in OK [x]. We use a height function on K [Lan] to define what we call the density of f(K) in K . Using a counting theorem of Schanuel [Sch], we show that this quantity exists and is 0. Now assume further that K is a subfield of R, and let m be a positive integer whose odd part is a product of one or more di...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2013
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-2013-11770-3