Cubic diophantine inequalities for split forms

2013/08/01 by Chow, Sam
#11D75 #11E76 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1308.0146

Abstract

Denote by s₀^(r) the least integer such that if s ≥ s₀^(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 s₀^(r) for r ≤ 6.

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