Cubic diophantine inequalities for split forms

Sam Chow

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arXiv · 1308.0146

Cubic diophantine inequalities for split forms

Sam Chow

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Abstract

Denote by $s_0^{(r)}$ the least integer such that if $s \ge s_0^{(r)}$, 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 $s_0^{(r)}$ for $r \le 6$.

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Sam Chow. 2013-08-01. Cubic diophantine inequalities for split forms. https://arxiv.org/abs/1308.0146

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