1. Mar 7, 2004

Janitor

Can anyone sketch out how Rademacher wound up with his formula for the number of ways to partition an integer? Or at least explain why the number 24 shows up in it?

(In the graphic link below, the A coefficients are themselves defined as a certain rather complicated sum of exponentials to the base e.)

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Last edited: Mar 7, 2004
2. Mar 7, 2004

3. Mar 7, 2004

Janitor

Yes, Nate. In fact I grabbed the formula image file from that very page that you linked. I first came upon the formula in a layman's book on number theory by John Conway, but that book didn't offer a derivation if I recall.

4. Mar 9, 2004

Sariaht

Reminds of the solution to the third degree equation!

5. Dec 11, 2004

Janitor

Bumping this up in case some of the newer members can provide some insight.