3 papers
math.NT2026
Counting Polynomials via Galois Actions on Root Subsets
Or Ben-Porath
This paper studies the number of monic integer polynomials of height at most whose Galois group, endowed with the action on the roots, is isomorphic to a prescribed permuta…
math.NT2022
Probabilistic Galois Theory -- The Square Discriminant Case
Lior Bary-Soroker, Or Ben-Porath, Vlad Matei
The paper studies the probability for a Galois group of a random polynomial to be . We focus on the so-called large box model, where we choose the coefficients of the polynomi…
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…