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arXiv 1310.4563math.CV
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三次Legendre乘子序列的不存在性

The non-existence of cubic Legendre multiplier sequences

Tamás Forgács, James Haley, Rebecca Menke, Carlee Simon

备注：
Several typos were corrected. Sections 2 and 3 were reorganized with added definitions. The appendix was incorporated into the body, the statement and proof of Lemma 4 was corrected. The proofs of Lemma 2 and Theorem 5 were streamlined, and several new references were added
发表信息：
Involve - a Journal of Mathematics, 7-6 (2014), 773--786
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摘要：

本文的主要结果是证明了三次Legendre乘子序列的不存在性。我们还给出了另一种证明的不存在的线性勒让德乘数序列，使用的方法，将允许一个更有条理的治疗序列内插更高的次数多项式。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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