Simultaneous approximation in number fields |
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| Authors: | Damien Roy |
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| Institution: | (1) Department of Mathematics, McGill University, H3A 2K6 Montréal, Canada |
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| Abstract: | Summary We present here the solution of a problem of J.-J. Sansuc together with a natural generalization of it. This problem of Sansuc is, given a number fieldk, to find the smallest positive integerm for which there exists a finitely generated subgroup of rankm ofk
x
having a dense image in (R 
Q
k)x under the canonical embedding. This integer is the number of archimedean places ofk plus one.Oblatum 28-I-1992This work was partially supported by NSERC and FCAR grants |
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