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Department of Mathematical Sciences

Staff

Publication details for Pankaj Vishe

Browning,T.D. & Vishe, P. (2014). Cubic hypersurfaces and a version of the circle method for number fields. Duke Mathematical Journal 163(10): 1825-1883.

Author(s) from Durham

Abstract

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.