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arXiv · 1207.2385

Cubic hypersurfaces and a version of the circle method for number fields

Tim Browning·Pankaj Vishe
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Abstract

A version of the Hardy-Littlewood circle method is developed for number fields K/Q and is used to show that non-singular projective cubic hypersurfaces over K always have a K-rational point when they have dimension at least 8.

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Tim Browning, Pankaj Vishe. 2012-07-10. Cubic hypersurfaces and a version of the circle method for number fields. https://doi.org/10.1215/00127094-2738530

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