An effective version of Fekete's theorem
2024
Online
report
Zugriff:
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. We prove an effective version of Fekete's theorem in terms of a height function. As an application, we give a lower bound on the growth of the leading coefficient of certain polynomial sequences, generalizing a result by Schur. Lastly, we give an upper bound on minimal asymptotics of height over sequences of algebraic numbers.
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An effective version of Fekete's theorem
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Autor/in / Beteiligte Person: | Levenberg, Norm ; Londhe, Mayuresh |
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Veröffentlichung: | 2024 |
Medientyp: | report |
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