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Abstract: Introduction Let k be an algebraic number field and k v the completion of k at the place v. If ff belongs to k v then Dirichlet's Theorem establishes the existence of a point fi in k such that the height of fi is bounded by a suitable parameter and jff \Gamma fij v is relatively small. And for special numbers ff it is a basic problem of Diophantine approximation to show that jff \Gamma fij v cannot be too small if the height of fi is bounded. In a recent paper [2] such problems were... (Update)
Context of citations to this paper: More
.... Gamma1 (k v ) be OE(ff 0 ; ff 1 ; Delta Delta Delta ; ff N Gamma1 ) ff 0 ; ff 1 ; Delta Delta Delta ; ff N Gamma1 ] As in [1] [5] and [9] one can define a projective metric on P N Gamma1 (k v ) as follows. If ff and fi belong to P N Gamma1 (k v ) then we...
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BibTeX entry: (Update)
K.K. Choi and J. D. Vaaler. Diophantine Approximation in Projective Space, Submitted for publication. http://citeseer.ist.psu.edu/20105.html More
@misc{ choi-diophantine,
author = "K. Choi and J. Vaaler",
title = "Diophantine Approximation in Projective Space",
text = "K.K. Choi and J. D. Vaaler. Diophantine Approximation in Projective Space,
Submitted for publication.",
url = "citeseer.ist.psu.edu/20105.html" }
Citations (may not include all citations):38 Introduction to Diophantine Approximation (context) - Cassels - 1957
13 Lecture Notes in Mathematics (context) - Schmidt, Approximation - 1980
5 On Siegel's Lemma (context) - Bombieri, Vaaler - 1983
3 Capacity Theory on Algebraic Curves (context) - Rumely - 1989
2 Effective measures of irrationality for cubic extensions of .. (context) - Bombieri, van der Poorten et al. - 1996
2 Uber die angenaherte Darstellung der Irrationalzahlen durch .. (context) - Hurwitz
1 the decomposition of vectors over number fields (context) - Burger, Vaaler - 1993
1 The connection between the Lagrange and Markoff Spectra (context) - Cusick - 1975
1 The Markoff and Lagrange Spectra (context) - Cusick, Flahive - 1989
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