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arXiv · 1801.06244

Short proof of Rademacher's formula for partitions

Wladimir de Azevedo Pribitkin·Brandon Williams
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Abstract

This note rederives a formula for $r$-color partitions, $1 \le r \le 24$, including Rademacher's celebrated result for ordinary partitions, from the duality between modular forms of weights $-r/2$ and $2+r/2$.

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Wladimir de Azevedo Pribitkin, Brandon Williams. 2018-01-18. Short proof of Rademacher's formula for partitions. https://arxiv.org/abs/1801.06244

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