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arxiv: 1611.00720 · v1 · pith:MA2ZV5GVnew · submitted 2016-11-02 · 🧮 math.NT · math.CA

On restriction estimates for discrete quadratic surfaces

classification 🧮 math.NT math.CA
keywords aligndiscretedotsestimatesformquadraticrestrictionsurfaces
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We obtain truncated restriction estimates of an unexpected form for discrete surfaces \begin{align} S = \{\, ( n_1 , \dots , n_d , R( n_1 , \dots, n_d ) ) \,,\, n_i \in [-N,N] \cap \mathbb{Z} \,\}, \end{align} where $R$ is an indefinite quadratic form with integer matrix.

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