17 citations · 41 across the 11 of their papers we have counts for
18 papers
The divisor function for matrices
Tim Browning, Nikita P. Kalinin, Alina Ostafe +2
We introduce a matrix divisor function , counting factorisations for integer matrices of height at most . For a fixed non-singular , or for…
Generalised quadratic forms over totally real number fields
Tim Browning, Lillian B. Pierce, Damaris Schindler
We introduce a new class of generalised quadratic forms over totally real number fields, which is rich enough to capture the arithmetic of arbitrary systems of quadrics over the ra…
Density of rational points near/on compact manifolds with certain curvature conditions
D. Schindler, S. Yamagishi
In this article we establish an asymptotic formula for the number of rational points, with bounded denominators, within a given distance to a compact submanifold of $…
Hyperbola method on toric varieties
Marta Pieropan, Damaris Schindler
We develop a very general version of the hyperbola method which extends the known method by Blomer and Brüdern for products of projective spaces to complete smooth split toric vari…
On prime values of binary quadratic forms with a thin variable
Peter Cho-Ho Lam, Damaris Schindler, Stanley Yao Xiao
In this paper we generalize the result of Fouvry and Iwaniec dealing with prime values of the quadratic form with one input restricted to a thin subset of the integers.…
Diophantine inequalities for generic ternary diagonal forms
Damaris Schindler
Let k\geq 2 and consider the Diophantine inequality |x_1^k-\alp_2 x_2^k-\alp_3 x_3^k| <\tet. Our goal is to find non-trivial solutions in the variables x_i, 1\leq i\leq 3, all of s…