Journal Article Alternative approach for Siegel's lemma

Nagata, Makoto

58 ( 1 )  , pp.141 - 158 , 2016-01 , Department of Mathematics, Faculty of Science, Okayama University
ISSN:0030-1566
NCID:AA00723502
Description
In this article, we present an alternative approach to show a generalization of Siegel's lemma which is an essential tool in Diophantine problems. Our main statement contains the so-called analytic Siegel's lemma as well as the Bombieri-Vaaler lemma. Our proof avoids relying on the ordinary geometry of numbers.
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http://ousar.lib.okayama-u.ac.jp/files/public/5/53922/20160528122044977828/mjou_058_141_158.pdf

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