@article{212,
  abstract     = {For any n ≧ 2, let F ∈ ℤ [ x 1, … , xn ] be a form of degree d≧ 2, which produces a geometrically irreducible hypersurface in ℙn–1. This paper is concerned with the number N(F;B) of rational points on F = 0 which have height at most B. For any ε > 0 we establish the estimate N(F; B) = O(B n− 2+ ε ), whenever either n ≦ 5 or the hypersurface is not a union of lines. Here the implied constant depends at most upon d, n and ε.},
  author       = {Timothy Browning and Heath-Brown, Roger},
  journal      = {Journal fur die Reine und Angewandte Mathematik},
  number       = {584},
  pages        = {83 -- 115},
  publisher    = {Walter de Gruyter and Co },
  title        = {{Counting rational points on hypersurfaces}},
  doi          = {https://doi.org/10.1515/crll.2005.2005.584.83},
  year         = {2005},
}