@article{224,
abstract = {Let n ≥ 4 and let Q ∈ [X1, ..., Xn] be a non-singular quadratic form. When Q is indefinite we provide new upper bounds for the least non-trivial integral solution to the equation Q = 0, and when Q is positive definite we provide improved upper bounds for the greatest positive integer k for which the equation Q = k is insoluble in integers, despite being soluble modulo every prime power.},
author = {Timothy Browning and Dietmann, Rainer},
journal = {Proceedings of the London Mathematical Society},
number = {2},
pages = {389 -- 416},
publisher = {John Wiley and Sons Ltd},
title = {{On the representation of integers by quadratic forms}},
doi = {10.1112/plms/pdm032},
volume = {96},
year = {2008},
}