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Solving quadratic forms in restricted variables with the circle method

Solving quadratic forms in restricted variables with the circle method

来源:Arxiv_logoArxiv
英文摘要

Let $f(\mathbf x)$ be a non-singular quadratic form with sufficiently many mixed terms and $t$ an integer. For a sequence of weights $\mathcal A$ we study the number of weighted solutions to $f(\mathbf x) = t$. In particular, we give conditions on both $\mathcal A$ and $f$ such that we can use the circle method to count such solutions of bounded height.

Mieke Wessel、Svenja zur Verth

数学

Mieke Wessel,Svenja zur Verth.Solving quadratic forms in restricted variables with the circle method[EB/OL].(2025-05-23)[2025-07-17].https://arxiv.org/abs/2505.17949.点此复制

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