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Apr 16, 2013 at 12:32 comment added Noah Stein In case anyone else is confused in the way I was upon reading this question: it does not refer to the "partition function" used in statistical mechanics or probabilistic inference.
Mar 11, 2011 at 18:11 answer added Jerome Malenfant timeline score: -1
Jan 20, 2011 at 21:19 answer added Frank Thorne timeline score: 7
Dec 1, 2010 at 0:52 vote accept Frank Thorne
Nov 29, 2010 at 21:33 answer added rlo timeline score: 4
Nov 29, 2010 at 20:25 comment added Thomas Bloom The paper "An arithmetic formula for the partition function" (math.wisc.edu/~ono/reprints/097.pdf) by Bringmann and Ono gives an alternative exact formula for the partition function, in terms of the twisted trace of a Poincare series. The authors call it an "arithmetic reformulation" of Rademacher's formula, so it probably doesn't approximate p(n) any better, but it may be a helpful alternative perspective.
Nov 29, 2010 at 18:31 answer added Martin Rubey timeline score: 21
Nov 28, 2010 at 23:08 comment added Frank Thorne Hi Daniel, thanks for the link. The stuff there is approximately what I knew and/or was able to find before asking my question. Of course, that might be some indication that there's not too much more out there related to my question.
Nov 28, 2010 at 23:07 comment added J. M. isn't a mathematician Whenever one encounters a strange function, the first step that should be taken is to check DLMF: dlmf.nist.gov/27.14.iii ; Abramowitz and Stegun: people.math.sfu.ca/~cbm/aands/page_825.htm ; and to a lesser extent the Wolfram Functions site: functions.wolfram.com/IntegerFunctions/PartitionsP (most of the other sites take their formulae from these three anyway :P).
Nov 28, 2010 at 21:10 comment added user37691 Take a look at mathworld.wolfram.com/PartitionFunctionP.html
Nov 28, 2010 at 20:58 history asked Frank Thorne CC BY-SA 2.5