Tal Horesh

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20172024

most citedA practical guide to well roundedness

4 citations · 4 across the 3 of their papers we have counts for

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math.NT2024

Joint effective equidistribution of partial lattices in positive characteristic

Tal Horesh, Frédéric Paulin

Let $ν$ be a place of a global function field $K$ over a finite field, with associated affine function ring $R_{ν}$ and completion $K_{ν}$ , and let $1 \leq m < d$ . Th…

math.NT2022

Counting flags of primitive lattices

Tal Horesh, Yakov Karasik

We count flags of primitive lattices, which are objects of the form $0 = Λ^{(0)} < Λ^{(1)} < \dots < Λ^{(ℓ)} = Z^{n}$ , where every $Λ^{(i)}$ is a primitive lattice in $\mathb…

math.NT2020

Equidistribution of primitive lattices in $R^{n}$

Tal Horesh, Yakov Karasik

We count primitive lattices of rank $d$ inside $Z^{n}$ as their covolume tends to infinity, with respect to certain parameters of such lattices. These parameters include,…

math.NT2019

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 $Z^{n}$ , as the norm of these vectors tends to infinity. These p…

math.NT2017

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…

Joint effective equidistribution of partial lattices in positive characteristic

Counting flags of primitive lattices

Equidistribution of primitive lattices in Rn

Equidistribution of primitive vectors, and the shortest solutions to their GCD equations

Prime Points in Orbits: Some Instances of the Bourgain-Gamburd-Sarnak Conjecture

Equidistribution of primitive lattices in $R^{n}$