Small representations of integers by integral quadratic forms.(English)Zbl 1454.11066
The authors give a bound on the height of points outside of some algebraic sets in a quadratic space at which an isotropic quadratic form over a number field assumes a certain value \(t\). These bounds are explicit in terms of the heights, the space, the algebraic set, and the value \(t\).
Reviewer: Steven T. Dougherty (Scranton)
MSC:
| 11E12 | Quadratic forms over global rings and fields |
| 11G50 | Heights |
| 11E39 | Bilinear and Hermitian forms |
Cite
References:
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