Roy Shmueli

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20212024

most citedThe Expected Number of Roots over The Field of p-adic Numbers

4 citations · 4 across the 4 of their papers we have counts for

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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…

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