TY - JOUR
AB - 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.
AU - Timothy Browning
AU - Dietmann, Rainer
ID - 224
IS - 2
JF - Proceedings of the London Mathematical Society
TI - On the representation of integers by quadratic forms
VL - 96
ER -