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Cubic diophantine inequalities for split forms
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Chow, Sam (2014) Cubic diophantine inequalities for split forms. Monatshefte fur Mathematik, 175 (2). pp. 213-225. doi:10.1007/s00605-013-0604-0
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WRAP-cubic-diophantine-inequalities-split-forms-Chow-2014.pdf - Accepted Version - Requires a PDF viewer. Download (591Kb) | Preview |
Official URL: https://doi.org/10.1007/s00605-013-0604-0
Abstract
Denote by s(r)0 the least integer such that if s⩾s(r)0 , and F is a cubic form with real coefficients in s variables that splits into r parts, then F takes arbitrarily small values at nonzero integral points. We bound s(r)0 for r⩽6 .
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Diophantine analysis, Diophantine equations, Forms (Mathematics) | ||||||||
| Journal or Publication Title: | Monatshefte fur Mathematik | ||||||||
| Publisher: | Springer Vienna | ||||||||
| ISSN: | 0026-9255 | ||||||||
| Official Date: | October 2014 | ||||||||
| Dates: |
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| Volume: | 175 | ||||||||
| Number: | 2 | ||||||||
| Page Range: | pp. 213-225 | ||||||||
| DOI: | 10.1007/s00605-013-0604-0 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Publisher Statement: | This is a post-peer-review, pre-copyedit version of an article published in Monatshefte fur Mathematik. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00605-013-0604-0 | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
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| Open Access Version: |
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