The non-existence of cubic Legendre multiplier sequences
classification
🧮 math.CV
keywords
sequenceslegendremultipliernon-existencecubicproofallowalternative
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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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