24 citations · 171 across the 47 of their papers we have counts for
4 papers · 1 filter
Counting rational points on biquadratic hypersurfaces
T. D. Browning, L. Q. Hu
An asymptotic formula is established for the number of rational points of bounded anticanonical height which lie on a certain Zariski open subset of an arbitrary smooth biquadratic…
Free rational curves on low degree hypersurfaces and the circle method
Tim Browning, Will Sawin
We use a function field version of the Hardy-Littlewood circle method to study the locus of free rational curves on an arbitrary smooth projective hypersurface of sufficiently low…
Density of rational points on a quadric bundle in
T. D. Browning, D. R. Heath-Brown
An asymptotic formula is established for the number of rational points of bounded anticanonical height which lie on a certain Zariski dense subset of the biprojective hypersurface…
Counting rational points on quadric surfaces
T. D. Browning, D. R. Heath-Brown
We give an upper bound for the number of rational points of height at most , lying on a surface defined by a quadratic form . The bound shows an explicit dependence on . I…