@article{223,
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 → ∞. The estimates obtained are completely uniform in the coefficients of the form, and become sharper as they grow larger in modulus.},
author = {Timothy Browning},
journal = {Monatshefte fur Mathematik},
number = {1},
pages = {13 -- 38},
publisher = {Springer},
title = {{Density of integer solutions to diagonal quadratic forms}},
doi = {10.1007/s00605-007-0457-5},
volume = {152},
year = {2007},
}