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.
Publication Details
- Journal
- ArXiv.org
- Published
- 2025-05-23
- Primary Topic
- Autobiographical and Biographical Writing
- Type
- article
- Field-Weighted Citation Impact
- 0.00