Affiliation: University of Wisconsin
Email: bry@mandli.com
Title Of Talk: A New Proof of the Ramanujan Congruences for the Partition Function
Abstract: The three classical congruences for the partition function, p(5n + 4) = 0 (mod 5) p(7n + 5) = 0 (mod 7) p(11n + 6) = 0 (mod 11) have been proven via q-series identities, combinatorial arguments, and the theory of Hecke operators. A new proof of these congruences is presented which uses only basic results from the theory of modular forms on SL_2(Z). Furthermore, the proof naturally encompasses all three congruences in a single argument.
Last update made Thu Nov 11 14:47:30 EST 2004.
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