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arxiv: 1609.08578 · v1 · pith:3TM3BEGRnew · submitted 2016-09-27 · 🧮 math.NT · math.CO

Arithmetic properties for cubic partition pairs modulo powers of 3

classification 🧮 math.NT math.CO
keywords arithmeticcubicpairspartitionpropertiesaffirmativeanswersconjectures
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Let $b(n)$ denote the number of cubic partition pairs of $n$. In this paper, we aim to provide a strategy to obtain arithmetic properties of $b(n)$. This gives affirmative answers to two of Lin's conjectures.

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