On the Casas-Alvero conjecture (Q634493)
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scientific article; zbMATH DE number 5939128
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Casas-Alvero conjecture |
scientific article; zbMATH DE number 5939128 |
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On the Casas-Alvero conjecture (English)
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16 August 2011
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Summary: The Casas-Alvero conjecture says that a complex univariate polynomial having roots in common with each of its derivatives must be a power of a linear polynomial. In this expository note we review some ideas on this conjecture. In particular, we explain the rather successful algebraic attack by \textit{H.-C. Graf von Bothmer} et al. [J. Algebra 316, No. 1, 224--230 (2007; Zbl 1127.12002)], which proves the conjecture in infinitely many degrees, and challenge analysts to come up with new approaches.
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