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Bibliographic Details
Main Authors: Wessel, Mieke, Verth, Svenja zur
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2505.17949
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Table of Contents:
  • 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.