L. Bary‐Soroker

activity

20052022

most citedOn PAC Extensions and Scaled Trace Forms

2 citations · 6 across the 15 of their papers we have counts for

collaborators

20 papers

math.NT2024

On the irreducibility of $f (2^{n}, 3^{m}, X)$ and other such polynomials

Lior Bary-Soroker, Daniele Garzoni, Vlad Matei

Let $f (t_{1}, \dots, t_{r}, X) \in Z [t_{1}, \dots, t_{r}, X]$ be irreducible and let $a_{1}, \dots, a_{r} \in Z ∖ {0, \pm 1}$ . Under a necessary ramification as…

math.NT2022

Hilbert's irreducibility theorem via random walks

Lior Bary-Soroker, Daniele Garzoni

Let $G$ be a connected linear algebraic group over a number field $K$ , let $Γ$ be a finitely generated Zariski dense subgroup of $G (K)$ and let $Z \subseteq G (K)$ be a thin set, in…

math.NT2020

On the Galois Theory of Generalized Laguerre Polynomials and Trimmed Exponential

Lior Bary-Soroker, Or Ben-Porath

Inspired by the work of Schur on the Taylor series of the exponential and Laguerre polynomials, we study the Galois theory of trimmed exponentials $f_{n,n+k}=\sum_{i=0}^{k} \frac{x…

math.NT2019

Explicit Hilbert's Irreducibility Theorem in Function Fields

Lior Bary-Soroker, Alexei Entin

We prove a quantitative version of Hilbert's irreducibility theorem for function fields: If $f (T_{1}, \dots, T_{n}, X)$ is an irreducible polynomial over the field of rational functions…

math.PR2018

Supplement to the article "irreducible polynomials with bounded height"

Lior Bary-Soroker, Gady Kozma

We show that the determinant of a random matrix is unlikely to be a square.

math.NT2018

Roots of Polynomials and The Derangement Problem

Lior Bary-Soroker, Ofir Gorodetsky

We present a new killing-a-fly-with-a-sledgehammer proof of one of the oldest results in probability which says that the probability that a random permutation on $n$ elements has n…