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Terms of Lucas sequences having a large smooth divisor

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Abstract We show that the $Kn$ –smooth part of $a^n-1$ for an integer $a>1$ is $a^{o(n)}$ for most positive integers n. Click to show full abstract

Abstract We show that the $Kn$ –smooth part of $a^n-1$ for an integer $a>1$ is $a^{o(n)}$ for most positive integers n.

Keywords: smooth divisor; large smooth; terms lucas; lucas sequences; sequences large

Journal Title: Canadian Mathematical Bulletin
Year Published: 2022

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