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Separating Roots of Polynomials and the Transfinite Diameter
JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift) |
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ID |
4639146 |
Author(s) |
Habegger, Philipp |
Author(s) at UniBasel |
Habegger, Philipp
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Year |
2021 |
Year: comment |
Accepted in 2021 |
Title |
Separating Roots of Polynomials and the Transfinite Diameter |
Journal |
Rivista di Matematica della Università di Parma |
Pages / Article-Number |
26 pages |
Keywords |
Root separation of complex polynomials, discriminant, transfinite diameter |
Abstract |
Mahler proved a lower bound for the distance between distinct roots of a squarefree complex polynomial. We extend his result to packets of tuples of complex roots and slightly improve a numerical constant. One application of the former aspect is an upper bound for the transfinite diameter of certain star-shaped compact subsets of the complex plane. |
Publisher |
Università di Parma |
ISSN/ISBN |
Print ISSN 0035-6298, Online ISSN 2284-2578 |
Full Text on edoc |
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Additional Information |
MSC: 12D10, 11C08, 30C85 |
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02/05/2024
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