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 $2+r/2$.