I am needing to use the asymptotic formula for the partition number, $p(n)$ (see here for details about partitions).
The asymptotic formula always seems to be written as,
$ p(n) \sim \frac{1}{4n\sqrt{3}}e^{\pi \sqrt{\frac{2n}{3}}}, $
however I need to know the order of the omitted terms, (i.e. I need whatever the little-o of this expression is). Does anybody know what this is, and a reference for it? I haven't been able to find it online, and don't have access to a copy of Andrews 'Theory of Integer Partitions'.
Thank you.