| ID | 53922 |
| FullText URL | |
| Author |
Nagata, Makoto
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| Abstract | 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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| Keywords | Siegel’s lemma
geometry of numbers
height
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| Published Date | 2016-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume58
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| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 141
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| End Page | 158
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Copyright©2016 by the Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol58/iss1/7
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| JaLCDOI |