1 citations · 1 across the 1 of their papers we have counts for
5 papers
Irreducibility of the characteristic polynomials of random tridiagonal matrices
Lior Bary-Soroker, Daniele Garzoni, Sasha Sodin
Conditionally on the Riemann hypothesis for certain Dedekind zeta functions, we show that the characteristic polynomial of a class of random tridiagonal matrices of large dimension…
Full Galois groups of polynomials with slowly growing coefficients
Lior Bary-Soroker, Noam Goldgraber
Choose a polynomial uniformly at random from the set of all monic polynomials of degree with integer coefficients in the box . The main result of the paper assert…
Irreducibility of Polynomials with Square Coefficients over Finite Fields
Lior Bary-Soroker, Roy Shmueli
We study a random polynomial of degree over the finite field , where the coefficients are independent and identically distributed and uniformly chosen from the sq…
On the irreducibility of and other such polynomials
Lior Bary-Soroker, Daniele Garzoni, Vlad Matei
Let be irreducible and let . Under a necessary ramification as…
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…