3 citations · 5 across the 2 of their papers we have counts for
4 papers · 1 filter
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 $…
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…
Bihomogeneous forms in many variables
Damaris Schindler
We count integer points on bihomogeneous varieties using the Hardy-Littlewood method. The main novelty lies in using the structure of bihomogeneous equations to obtain asymptotics…