Vlad Matei

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20172025

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5 papers · 1 filter

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 $ζ (2 n)$ 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 $ζ (2 n)$ 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…

math.NT2019

Average size of the automorphism group of smooth projective hypersurfaces over finite fields

Vlad Matei

In this paper, we show that the average size of the automorphism group over $F_{q}$ of a smooth degree $d$ hypersurface in $P_{F_{q}}^{n}$ is equal to $1$ as…

math.NT2017

Constants in Titchmarsh divisor problems for elliptic curves

Renee Bell, Clifford Blakestad, Alina Carmen Cojocaru +5

Inspired by the analogy between the group of units $F_{p}^{\times}$ of the finite field with $p$ elements and the group of points $E (F_{p})$ of an elliptic curve $E/\…