Vlad Matei

activity

20162025

most citedHigher moments of arithmetic functions in short intervals: a geometric perspective

6 citations · 11 across the 9 of their papers we have counts for

collaborators

10 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 $ζ (2 n)$ 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.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 $A_{n}$ . We focus on the so-called large box model, where we choose the coefficients of the polynomi…

math.NT2021

Doubly isogenous genus-2 curves with $D_{4}$ -action

Vishal Arul, Jeremy Booher, Steven R. Groen +5

We study the extent to which curves over finite fields are characterized by their zeta functions and the zeta functions of certain of their covers. Suppose C and C' are curves over…

math.NT2020★ 5 cited

Counting Plane Cubic Curves over Finite Fields with a Prescribed Number of Rational Intersection Points

Nathan Kaplan, Vlad Matei

For each integer $k \in [0, 9]$ , we count the number of plane cubic curves defined over a finite field $F_{q}$ that do not share a common component and intersect in exactly $…

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/\…

math.NT2017

A geometric approach to counting norms in cyclic extensions of function fields

Vlad Matei

In this paper we prove an explicit version of a function field analogue of a classical result of Odoni about norms in number fields in the case of a cyclic Galois extensions. In th…

math.NT2016★ 6 cited

Higher moments of arithmetic functions in short intervals: a geometric perspective

Daniel Hast, Vlad Matei

We study the geometry associated to the distribution of certain arithmetic functions, including the von Mangoldt function and the Möbius function, in short intervals of polynomials…

Irreducibility of polynomials with random multiplicative coefficients revisited

On some rational zeta series involving ζ(2n) and binomial coefficients

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

Probabilistic Galois Theory -- The Square Discriminant Case

Doubly isogenous genus-2 curves with D4​-action

Counting Plane Cubic Curves over Finite Fields with a Prescribed Number of Rational Intersection Points

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

Constants in Titchmarsh divisor problems for elliptic curves

A geometric approach to counting norms in cyclic extensions of function fields

Higher moments of arithmetic functions in short intervals: a geometric perspective

On some rational zeta series involving $ζ (2 n)$ and binomial coefficients

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

Doubly isogenous genus-2 curves with $D_{4}$ -action