Ramanujan's Identity

Author

Eric W. Weisstein
December 10, 2008

This notebook downloaded from http://mathworld.wolfram.com/notebooks/SpecialFunctions/RamanujansIdentity.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/RamanujansIdentity.html.

©2008 Wolfram Research, Inc. except for portions noted otherwise

Identity

(∑_(m=0)^∞)p(5 m+4) (x^m)==((5 ((((QPochhammer2[(x^5), (x^5)])))^5))/((((QPochhammer2[x, x])))^6))

Product[1-(x^m),{m,∞}]

Sum[PartitionsP[5m+4](x^m),{m,0,∞}]