Euler's Partition Function Theory Finished

I hardly have anything to say here as most of the discussions are over my head. Nonetheless - can this be useful to a master tunesmith?

"Mathematician Ken Ono, from Emory, has solved a 250-year-old problem: how to exactly and explicitly generate partition numbers.

http://blogs.plos.org/badphysics/2011/01/20/ono/

Ono and colleagues were able to finally do this by realizing that the pattern of partition numbers is fractal (PDF).

http://www.aimath.org/news/partition/folsom-kent-ono.pdf

This pattern allowed them to find a finite, algebraic formula, which is like striking oil in mathematics."

Partition functions have come up here. Please note that 3 of
the last 5 posts here have been about this. -Carl

At 09:55 AM 1/22/2011, Chris wrote:
>I hardly have anything to say here as most of the discussions are over
>my head. Nonetheless - can this be useful to a master tunesmith?
>
>
>"Mathematician Ken Ono, from Emory, has solved a 250-year-old problem:
>how to exactly and explicitly generate partition numbers.
>
>http://blogs.plos.org/badphysics/2011/01/20/ono/
>
>Ono and colleagues were able to finally do this by realizing that the
>pattern of partition numbers is fractal (PDF).
>
>http://www.aimath.org/news/partition/folsom-kent-ono.pdf
>
>This pattern allowed them to find a finite, algebraic formula, which
>is like striking oil in mathematics."
>
>

my apologies Carl.

On Sat, Jan 22, 2011 at 4:41 PM, Carl Lumma <carl@lumma.org> wrote:

>
>
> Partition functions have come up here. Please note that 3 of
> the last 5 posts here have been about this. -Carl
>
>
>

--- In tuning-math@yahoogroups.com, Carl Lumma <carl@...> wrote:
>
> Partition functions have come up here. Please note that 3 of
> the last 5 posts here have been about this. -Carl

That doesn't make this useful in music theory. I can see no application.