Daniele Garzoni

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20172026

most citedRandom generation with cycle type restrictions

3 citations · 10 across the 15 of their papers we have counts for

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math.NT2025★ 1 cited

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…

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…

Irreducibility of the characteristic polynomials of random tridiagonal matrices

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

Hilbert's irreducibility theorem via random walks

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