5 Jun
2014
5 Jun
'14
12:16 a.m.
Nice approximation. Speaking of which, is there some heuristic reason the Hardy-Ramanujan asymptotic formula for the partition function p(n) ~ exp(pi sqrt(2n/3)) / (4 sqrt(3) n). or its general form p(n) ~ A^sqrt(n) / (B*n) for some A, B in (0,oo) ought to be true? --Dan On Jun 4, 2014, at 5:04 PM, rcs@xmission.com wrote:
I always have trouble recalling the formula for the number of partitions of N. Here's a simple approximation:
partition(N) ~= 13^sqrt(N) / 7N