Rainer Dietmann

Small Solutions of Quadratic Diophantine Equations

We consider quadratic diophantine equations of the shape

RATIONAL POINTS ON INTERSECTIONS OF CUBIC AND QUADRIC HYPERSURFACES

Q(x_1, \ldots, x_s) = 0 \qquad (1)

On the representation of integers by quadratic forms

for a polynomial

The density of twins of k-free numbers

Q(X_1, \ldots, X_s) \in \mathbf{Z}[X_1, \ldots, X_s]

Shifted products that are coprime pure powers

of degree

Small Zeros of Quadratic Forms Avoiding a Finite Number of Prescribed Hyperplanes

2

PROBABILISTIC GALOIS THEORY FOR QUARTIC POLYNOMIALS

. Let

Polynomial bounds for equivalence of quadratic forms with cube-free determinant

H