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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 ISSN 0026-9255.

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Official URL: https://doi.org/10.1007/s00605-013-0604-0

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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
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > 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:
DateEvent
October 2014Published
11 January 2014Available
28 December 2013Accepted
Volume: 175
Number: 2
Page Range: pp. 213-225
DOI: 10.1007/s00605-013-0604-0
Status: Peer Reviewed
Publication Status: Published
Reuse Statement (publisher, data, author rights): 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
Date of first compliant deposit: 20 September 2019
Date of first compliant Open Access: 20 September 2019
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