Timeline for Exact formulas for the partition function?
Current License: CC BY-SA 2.5
11 events
when toggle format | what | by | license | comment | |
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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 |