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arXiv · 1310.4563

The non-existence of cubic Legendre multiplier sequences

Tamás Forgács·James Haley III·Rebecca Menke·Carlee Simon
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Abstract

The main result in this paper is the proof of the recently conjectured non-existence of cubic Legendre multiplier sequences. We also give an alternative proof of the non-existence of linear Legendre multiplier sequences, using a method that will allow for a more methodical treatment of sequences interpolated by higher degree polynomials.

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Tamás Forgács, James Haley III, Rebecca Menke, Carlee Simon. 2013-10-17. The non-existence of cubic Legendre multiplier sequences. https://doi.org/10.2140/involve.2014.7.773

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