2024/04/09 by N. Levenberg, Levenberg, Norm, Mayuresh Londhe +1
Mathematics · #11G50 #11R06 #30C85 (secondary) #31A15 (primary) #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #Point processes and geometric inequalities
paper · pdf · doi:10.48550/arxiv.2404.06446
openalex publication_date 2024/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 sets, we demonstrate the existence of a sequence of algebraic integers such that most of their conjugates eventually lie near the set, while maintaining a bound on heights. Finally, we examine properties satisfied by the limiting distribution of a sequence of algebraic numbers.