4 citations · 4 across the 3 of their papers we have counts for
6 papers
Counting flags of primitive lattices
Tal Horesh, Yakov Karasik
We count flags of primitive lattices, which are objects of the form , where every is a primitive lattice in $\mathb…
-adic Directions of Primitive Vectors
Antonin Guilloux, Tal Horesh
Linnik type problems concern the distribution of projections of integral points on the unit sphere as their norm increases, and different generalizations of this phenomenon. Our wo…
Equidistribution of primitive lattices in
Tal Horesh, Yakov Karasik
We count primitive lattices of rank inside as their covolume tends to infinity, with respect to certain parameters of such lattices. These parameters include,…
A practical guide to well roundedness
Tal Horesh, Yakov Karasik
Let be a semisimple algebraic group. We develop a machinery for manipulation and manufacture of well-rounded families as they…
Equidistribution of primitive vectors, and the shortest solutions to their GCD equations
Tal Horesh, Yakov Karasik
We prove effective joint equidistribution of several natural parameters associated to primitive vectors in , as the norm of these vectors tends to infinity. These p…
Prime Points in Orbits: Some Instances of the Bourgain-Gamburd-Sarnak Conjecture
Tal Horesh, Amos Nevo
We use Vaughan's variation on Vinogradov's three-primes theorem to prove Zariski-density of prime points in several infinite families of hypersurfaces, including level sets of some…