Geodesic
Lower bounds for simultaneous Diophantine approximation constants
Communications in Mathematics, Tome 22 (2014) no. 1, pp. 71-76

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

After a brief exposition of the state-of-art of research on the (Euclidean) simultaneous Diophantine approximation constants $\theta _s$, new lower bounds are deduced for $\theta _6$ and $\theta _7$.
Classification : 11H16, 11J13
Keywords: geometry of numbers; Diophantine approximation; approximation constants; critical determinant 
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     author = {Nowak, Werner Georg},
     title = {Lower bounds for simultaneous {Diophantine} approximation constants},
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Nowak, Werner Georg. Lower bounds for simultaneous Diophantine approximation constants. Communications in Mathematics, Tome 22 (2014) no. 1, pp. 71-76. http://geodesic.mathdoc.fr/item/COMIM_2014__22_1_a5/