Pietro Paparella

activity

20122024

most citedPerron Spectratopes and the Real Nonnegative Inverse Eigenvalue Problem

23 citations · 110 across the 26 of their papers we have counts for

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math.HO2017★ 2 cited

A Short and Elementary Proof of the Two-sidedness of the Matrix-Inverse

Pietro Paparella

An elementary proof of the two-sidedness of the matrix-inverse is given using only linear independence and the reduced row-echelon form of a matrix. In addition, it is shown that a…

math.HO2017

Eisenstein's criterion, Fermat's last theorem, and a conjecture on powerful numbers

Pietro Paparella

Given integers $ℓ > m > 0$ , we define monic polynomials $X_{n}$ , $Y_{n}$ , and $Z_{n}$ with the property that $μ$ is a zero of $X_{n}$ if and only if the triple $(μ, μ + m, μ + ℓ)$ satisfies…