Vlad Matei

collaborators

3 papers

math.NT2025

Irreducibility of polynomials with random multiplicative coefficients revisited

Oleksiy Klurman, Vlad Matei

We show that for a random polynomial \[ F(X) = \sum_{n=1}^{N} f(n) X^{n-1}, \] where $f (n)$ is a random completely multiplicative function taking values in ${\pm 1}$ , one has \[…

math.NT2024

On some rational zeta series involving $I^¶ (2 n)$ and binomial coefficients

Cezar Lupu, Vlad Matei

In this note, we give an exact formula for a general family of rational zeta series involving the coefficient $I^¶ (2 n)$ in terms of Hurwitz zeta values. This formula generalizes two…

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…

Irreducibility of polynomials with random multiplicative coefficients revisited

On some rational zeta series involving I^¶(2n) and binomial coefficients

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

On some rational zeta series involving $I^¶ (2 n)$ and binomial coefficients

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