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arXiv 2512.03481math.NT
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Möbius 双曲 Lucas 序列的 p 进估值

The $p$-adic Valuations of Möbius Duals of Lucas Sequences

Zhejiang University(浙江大学);Zhejiang International Studies University(浙江外国语学院)

Tyler Ross, Zhongyan Shen, Tianxin Cai

AI总结:

本文研究了Möbius双曲Lucas序列的p进估值,并探讨了其与Wall-Sun-Sun素数存在的关系。

摘要:

在本文中,我们扩展了Möbius双曲Lucas序列的p进估值,最初由Carmichael为正则Lucas序列获得,扩展到不规则Lucas序列。我们最后简要观察这些估值与Wall-Sun-Sun素数存在的关系。

英文摘要:

In this paper, we extend the $p$-adic valuations of the Möbius duals of Lucas sequences, originally obtained by Carmichael for regular Lucas sequences to irregular Lucas sequences. We conclude with a brief observation about the relationship of these valuations to the existence of Wall-Sun-Sun primes.

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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