Partition Identities and a Theorem of Zagier

In partition theory and q-series, one often seeks identities between series and infinite products. Using a recent result of Zagier, we obtain such identities for every positive integer m. For example if m = 1, then we obtain the classical Eisenstein series identity X 1 odd (-1)(-1)/2q (1 - q2) = q Y n=1 (1 - q8n)4 (1 - q4n)2 . If m = 2 and

• Type: Journal
• Year: 2002
• Where: JCT
• Authors: Jayce Getz, Karl Mahlburg
• Keywords: Eisenstein Series Identity, Identities, JCT 2002, Partition Theory