Y. Karasik

activity

20192022

most citedA practical guide to well roundedness

4 citations · 5 across the 3 of their papers we have counts for

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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…

Counting flags of primitive lattices

Equidistribution of primitive lattices in Rn

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

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