Cubic hypersurfaces and a version of the circle method for number fields
classification
🧮 math.NT
keywords
circlecubicfieldshypersurfacesmethodnumberversionalways
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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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