Partition Function p(n) – Closed-form Expression in Number Theory

integer-partitionsnumber theoryreference-request

I feel like I have seen news that a paper was recently published, at most a few months ago, that solved the well-known problem of finding a closed-form expression for the partition function $p(n)$ which enumerates the number of integer partitions of $n$: does anybody have the reference of this paper?

And if not a closed-form exactly, then I seem to recall some significant advance was made recently: can you provide any bibliography (2010, 2011)?

Hopefully this will ring a bell with someone…

Thanks!

Best Answer

Looks like you're looking for Bruinier and Ono's recent paper Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms. It received a lot of publicity recently.

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