Multi dimensional partitions

[Jonathan Post]

Dear Frank,

I don't know about the suspect seqwuences, but this is a hot research area.

See, for example:

*[PDF]* arXiv:hep-th/9807085 v1 12 Jul
1998<http://arxiv.org/pdf/hep-th/9807085>
File Format: PDF/Adobe Acrobat - View as
HTML<http://72.14.253.104/search?q=cache:E5BL47c69BoJ:arxiv.org/pdf/hep-th/9807085+%223-dimensional+partition%22&hl=en&gl=us&ct=clnk&cd=2>
The generating functional of *3-dimensional partition* was once conjectured
as, *...* (n) should be identified with the number of *3-dimensional
partition* of n. *...*
arxiv.org/pdf/hep-th/9807085
** arXiv:math.AG/0312059 v3 5 Jun 2004 Gromov-Witten theory and
*...*<http://arxiv.org/pdf/math/0312059>
<http://72.14.253.104/search?q=cache:wvZYBwVh-o4J:arxiv.org/pdf/math/0312059+%223-dimensional+partition%22&hl=en&gl=us&ct=clnk&cd=3>and
may also be viewed as a *3-dimensional partition* π *...* (ii) a *
3-dimensional* *partition* π. α. assigned to each vertex of ∆(X) such that *
...*
arxiv.org/pdf/math/0312059

-- Jonathan

On 12/4/06, franktaw at netscape.net <franktaw at netscape.net> wrote:
>
> I tried addressing this question just to the author, but got no
> response.
>
> http://www.research.att.com/~njas/sequences/A023871 is titled "Number
> of partitions in 3 dimensions."  This is the Euler transform of the
> squares; but I know of no sense in which it counts 3-dimensional
> partitions.  Does anybody?
>
> (http://www.research.att.com/~njas/sequences/A000293 is the normal
> sequence for 3D partitions.)
>
> The same objection applies to A023872-A023878.
>
> Franklin T. Adams-Watters
>
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