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arxiv: 1802.07310 · v1 · pith:YTCAW3IUnew · submitted 2018-02-20 · 🧮 math.CO

Simple proofs and expressions for the restricted partition function and its polynomial part

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keywords functionpartpartitionpolynomialexpressionsrestrictedsimplealgebra
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In this note, we provide a simple derivation of expressions for the restricted partition function and its polynomial part. Our proof relies on elementary algebra on rational functions and a lemma that expresses the polynomial part as an average of the partition function.

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