On quantitative aspects of the unit sum number problem
نویسندگان
چکیده
منابع مشابه
On Quantitative Aspects of the Unit Sum Number Problem
We investigate the function uK,S(m; q), which counts the number of representations of algebraic integers α with |NK/Q(α)| ≤ q, so that they can be written as sum of exactly m S-units of the number field K.
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lie in finitely many proper subspaces of Q. As an application of the subspace theorem Schmidt [16] described all norm form equations that have finitely many solutions. The subspace theorem has been further developed by Schlickewei [11, 12] and is proved in it’s most general form by Evertse and Schlickewei [3] (see also [13]). These investigations led to many applications, e.g. to the finiteness...
متن کاملthe unit sum number of baer rings
in this paper we prove that each element of any regular baer ring is a sum of two units if no factor ring of r is isomorphic to z_2 and we characterize regular baer rings with unit sum numbers $omega$ and $infty$. then as an application, we discuss the unit sum number of some classes of group rings.
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ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2009
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s00013-009-0037-0