Density of integer solutions to diagonal quadratic forms
Number Theory
2007-05-23 v3
Abstract
Let Q be a non-singular diagonal quadratic form in at least four variables. We provide upper bounds for the number of integer solutions to the equation Q=0, which lie in a box with sides of length 2B, as B tends to infinity. The estimates obtained are completely uniform in the coefficients of the form, and become sharper as they grow larger in modulus.
Cite
@article{arxiv.math/0603569,
title = {Density of integer solutions to diagonal quadratic forms},
author = {T. D. Browning},
journal= {arXiv preprint arXiv:math/0603569},
year = {2007}
}
Comments
23 pages