Counting rational points on quadric surfaces
Discrete analysis (2018)

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arXiv
We give an upper bound for the number of rational points of height at most $B$, lying on a surface defined by a quadratic form $Q$. The bound shows an explicit dependence on $Q$. It is optimal with respect to $B$, and is also optimal for typical forms $Q$.
Publié le :
T. D. Browning; D. R. Heath-Brown. Counting rational points on quadric surfaces. Discrete analysis (2018). http://geodesic.mathdoc.fr/item/DAS_2018_a6/
@article{DAS_2018_a6,
     author = {T. D. Browning and D. R. Heath-Brown},
     title = {Counting rational points on quadric surfaces},
     journal = {Discrete analysis},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DAS_2018_a6/}
}
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