Sequences of Diophantine approximations
نویسندگان
چکیده
منابع مشابه
Kronecker-type sequences and nonarchimedean diophantine approximations
xn = ({nα1}, . . . , {nαs}) , n = 0, 1, . . . , where {u} is the fractional part of u ∈ R. It is well known that the sequence x0,x1, . . . is uniformly distributed in I = [0, 1] if and only if 1, α1, . . . , αs are linearly independent over Q, and that the finer quantitative description of the distribution behavior of this sequence depends on the diophantine approximation character of the point...
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© Bulletin de la S. M. F., 1965, tous droits réservés. L’accès aux archives de la revue « Bulletin de la S. M. F. » (http://smf. emath.fr/Publications/Bulletin/Presentation.html) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impress...
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1.1. Let S be a finite set of places of a finite field extension L of a number field K, containing all infinite places. Let E be a vector space over K of dimension N + 1. For v ∈ S, let lv0, · · · , lvN be linearly independent vectors in E ⊗K L. Choose a projective subvariety X defined over K, embedded into the projective space P(E∨) of lines of the dual vector space E∨. Consider the system of ...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1974
ISSN: 0022-314X
DOI: 10.1016/0022-314x(74)90004-3