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math.CV2025
Equidistribution of the conjugates of algebraic units
Norm Levenberg, Mayuresh Londhe
We prove an equidistribution result for the zeros of polynomials with integer coefficients and simple zeros. Specifically, we show that the normalized zero measures associated with…
math.CV2024
Around Fekete's theorem
Norm Levenberg, Mayuresh Londhe
A classical result of Fekete gives necessary conditions on a compact set in the complex plane so that it contains infinitely many sets of conjugate algebraic integers. For such set…
math.CV2020
Dynamics of polynomial semigroups: measures, potentials, and external fields
Mayuresh Londhe
In this paper, we give a description of a natural invariant measure associated with a finitely generated polynomial semigroup (which we shall call the Dinh--Sibony measure) in term…