Geodesic
Transference inequalities for multiplicative Diophantine exponents
Informatics and Automation, Classical and modern mathematics in the wake of Boris Nikolaevich Delone, Tome 275 (2011), pp. 227-239

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove inequalities for multiplicative analogues of Diophantine exponents; these inequalities are similar to the ones known in the classical case. Particularly, we show that a matrix is badly approximable if and only if its transpose is badly approximable and establish some inequalities connecting multiplicative exponents with ordinary ones. 
@article{TRSPY_2011_275_a14,
     author = {Oleg N. German},
     title = {Transference inequalities for multiplicative {Diophantine} exponents},
     journal = {Informatics and Automation},
     pages = {227--239},
     publisher = {mathdoc},
     volume = {275},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2011_275_a14/}
}
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Oleg N. German. Transference inequalities for multiplicative Diophantine exponents. Informatics and Automation, Classical and modern mathematics in the wake of Boris Nikolaevich Delone, Tome 275 (2011), pp. 227-239. http://geodesic.mathdoc.fr/item/TRSPY_2011_275_a14/