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arXiv · 1209.2740

Exceptional sets for Diophantine inequalities

Scott T. Parsell·Trevor D. Wooley
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Abstract

We apply Freeman's variant of the Davenport-Heilbronn method to investigate the exceptional set of real numbers not close to some value of a given real diagonal form at an integral argument. Under appropriate conditions, we show that the exceptional set in the interval [-N,N] has measure O(N^{1-c}), for a positive number c.

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Scott T. Parsell, Trevor D. Wooley. 2012-09-12. Exceptional sets for Diophantine inequalities. https://arxiv.org/abs/1209.2740

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