Geodesic
A strengthening of Mahler's transference theorem
Izvestiya. Mathematics , Tome 79 (2015) no. 1, pp. 60-73.

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We obtain new transference theorems that improve some classical theorems of Mahler. Our results are stated in terms of consecutive minima of pseudo-compound parallelepipeds.
Keywords: transference principle, consecutive minima, pseudo-compound parallelepipeds, dual lattices. 
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O. N. German; K. G. Evdokimov. A strengthening of Mahler's transference theorem. Izvestiya. Mathematics , Tome 79 (2015) no. 1, pp. 60-73. http://geodesic.mathdoc.fr/item/IM2_2015_79_1_a3/

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