Roy Shmueli

collaborators

3 papers

math.NT2024

Irreducibility of Polynomials with Square Coefficients over Finite Fields

Lior Bary-Soroker, Roy Shmueli

We study a random polynomial of degree $n$ over the finite field $F_{q}$ , where the coefficients are independent and identically distributed and uniformly chosen from the sq…

math.NT2022

The probability that a p-adic random étale algebra is an unramified field

Roy Shmueli

We study the random étale algebra generated by a random polynomial with i.i.d. coefficients distributed according to Haar measure normalized on $Z_{p}$ . We determine the pro…

math.NT2022

The Number of Roots of a Random Polynomial over The Field of $p$ -adic Numbers

Roy Shmueli

We study the roots of a random polynomial over the field of p-adic numbers. For a random monic polynomial with coefficients in $Z_{p}$ , we obtain an asymptotic formula for t…

Irreducibility of Polynomials with Square Coefficients over Finite Fields

The probability that a p-adic random étale algebra is an unramified field

The Number of Roots of a Random Polynomial over The Field of p-adic Numbers

The Number of Roots of a Random Polynomial over The Field of $p$ -adic Numbers