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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive
Izv. RAN. Ser. Mat., 2015 Volume 79, Issue 1, Pages 63–76 (Mi im8195)
This article is cited in 6 papers

A strengthening of Mahler's transference theorem

O. N. German, K. G. Evdokimov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: 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.

UDC: 511.4

MSC: 11H06, 11H60, 11J13, 11J25

Received: 10.12.2013

DOI: 10.4213/im8195


 English version: Izvestiya: Mathematics, 2015, 79:1, 60–73

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© Steklov Math. Inst. of RAS, 2024