Talk:Partition function (number theory)

From Wikipedia, the free encyclopedia

You have new messages (last change).

Image:part.jpg This illustrates the parity of the p(k,n) function. There is evidently a "pattern" for each value of floor(n/k). It seems than when floor(n/k)=3, p(k,n)=floor(n/2)-k+2.

This is in Talk, as I have as of yet found no proof of any of this.

http://www.geocities.com/n8chz/nt.txt

[edit] Obsolete formula

There needs to be a link from Partition function (number theory), which has a totally obsolete formula, to the sample program section of UBASIC, which has the modern 1939/1956 formula. I have added the key references, but may people would not have access.
If and when I have time to add the correct formula then I will add the link myself.
Until then I will let you choose. AGB. 13 May 2005

What formula is "obsolete"? In math, formulas usually don't become obsolete. I don't think that an link to UBASIC is desirable. linas 23:03, 24 Jun 2005 (UTC)

[edit] Mahlburg etal

I updated the section on congruences, but we can probably add a touch more to it. Erica Klarreich penned a very nice introduction to partition numbers, rank, and crank in her report on recent work by University of Wisconsin, Madison PhD candidate Karl Mahlburg's that links crank with partition number congruences. Ken Ono is quoted in the article as saying that Mahlburg's work has "effectively written the final chapter on Ramanujan congruences." User:mhamrick forgot to sign on 24 June 2005

Do you have references, prefereably online pdfs/web links? linas 23:03, 24 Jun 2005 (UTC)

[edit] Merge

The two pages that are being proposed for merging are really two different pages on the same thing. Maybe the partition function should go under an advanced section of integer partition. -Nova666

Sounds good. Timothy Clemans 19:00, 8 April 2006 (UTC)

Yes, without a doubt. You can hardly talk about partitions without talking about the partition function anyway, and the two articles are quite similar. Holomorph 11:00, 11 April 2006 (UTC)

I would go for Partition (number theory) for the merged article --Henrygb 15:38, 4 May 2006 (UTC)

Retrieved from "http://en.wikipedia.org../../../p/a/r/Talk%7EPartition_function_%28number_theory%29_d3b9.html"