Solving quadratic forms in restricted variables with the circle method
Solving quadratic forms in restricted variables with the circle method
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
评论