Year: 2025
Type: article
Abstract: 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.
Source: Potential Analysis
Authors: Norm Levenberg, Mayuresh Londhe
Institutions: Indiana University Bloomington, Indiana University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
Funder: Simons Foundation
Award: G3210622993
OpenAlex ID: W4416940462