On the moments of a polynomial in one variable

Mueger, Michael; Tuset, Lars
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https://hdl.handle.net/10642/8502
Date
2019-12-10
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Mueger M, Tuset L. On the moments of a polynomial in one variable. Indagationes mathematicae. 2019;31   https://dx.doi.org/10.1016/j.indag.2019.11.003
Abstract
Let f be a non-zero polynomial with complex coefficients and define Mn(f) =R1 0 f(x)n dx. We use ideas of Duistermaat and van der Kallen to prove limsupn→∞ |Mn(f)|1/n > 0. In particular, Mn(f) 6= 0 for infinitely many n ∈ N.
Publisher
Elsevier
Series
Indagationes Mathematicae;Volume 31, Issue 1, January 2020
Journal
Indagationes mathematicae
© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ DOI: https://dx.doi.org/10.1016/j.indag.2019.11.003
Except where otherwise noted, this item's license is described as © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ DOI: https://dx.doi.org/10.1016/j.indag.2019.11.003