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…
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.
There is a rather unkown expression obtained by G.Iommi Amunátegui: A non-recursive expression for the number of irreducible representations of the symmetric group $S_n$“, Physica 114A (1982), 361-364, which gives $p(n)$.