Browning, T.D. and Vishe, P. (2014) 'Cubic hypersurfaces and a version of the circle method for number fields.', Duke mathematical journal., 163 (10). pp. 1825-1883.
A version of the Hardy–Littlewood circle method is developed for number fields K/QK/Q and is used to show that nonsingular projective cubic hypersurfaces over KK always have a KK-rational point when they have dimension at least 88.
|Full text:||(AM) Accepted Manuscript|
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|Publisher Web site:||https://doi.org/10.1215/00127094-2738530|
|Date accepted:||05 November 2013|
|Date deposited:||13 September 2017|
|Date of first online publication:||08 July 2014|
|Date first made open access:||13 September 2017|
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