Solving quadratic forms in restricted variables with the circle method
Number Theory
2025-05-26 v1
Abstract
Let be a non-singular quadratic form with sufficiently many mixed terms and an integer. For a sequence of weights we study the number of weighted solutions to . In particular, we give conditions on both and such that we can use the circle method to count such solutions of bounded height.
Cite
@article{arxiv.2505.17949,
title = {Solving quadratic forms in restricted variables with the circle method},
author = {Mieke Wessel and Svenja zur Verth},
journal= {arXiv preprint arXiv:2505.17949},
year = {2025}
}