Relatore:	Chu Wenchang (Università degli Studi di Lecce)
Titolo:	Theta Function Identities and Ramanujan's Congruences on Partition Function
Sunto:	A q-difference equation on eight shifted factorials of infinite order will be established. As consequences, we shall systematically explore triple products to give alternating proofs of the theta function identities due to Ewell (1995,1998) and Berndt et al (2004) and briefly review their applications to the Ramanujan congruences on partition function. In particular, a q-difference equation on quintuple products will be discovered which leads us to a new representation of (q;q)^{10}_{\infty} and therefore yields a new proof of the Ramanujan congruence on partition function modulo 11.
Luogo:	Sede del CNR, Milano, via Bassini n. 15, Sala Bassini (piano rialzato)
Data:	Giovedì 17 Febbraio 2005
Ore:	11:00