Counting rational points on quadric surfaces
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.
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| Aineistotyyppi: | Journal article |
| Julkaistu: |
Discrete Analysis
2018
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| Yhteenveto: | 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. |
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