Short proof of Rademacher's formula for partitions

17 Nov 2018  ·  Pribitkin Wladimir de Azevedo, Williams Brandon ·

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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Number Theory