Publication details for Pankaj VisheBrowning,T.D. & Vishe, P. (2014). Cubic hypersurfaces and a version of the circle method for number fields. Duke Mathematical Journal 163(10): 1825-1883.
- Publication type: Journal Article
- ISSN/ISBN: 0012-7094, 1547-7398
- Further publication details on publisher web site
- Durham Research Online (DRO) - may include full text
Author(s) from Durham
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.