3 papers
math.CV2025
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.CV2025
Widom factors in
Gökalp Alpan, Turgay Bayraktar, Norm Levenberg
We generalize the theory of Widom factors to the setting. We define Widom factors of compact subsets associated with multivariate orthogonal po…
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…