Integer partitions and the Rogers-Ramanujan identities

Steven O'Hagan

Friday 22nd May, 2009 16:00-17:00 Mathematics Building, room 516

Abstract

A `partition' of a positive integer is a way of writing it as a sum of positive integers. I will give some examples and results from the theory of integer partitions and show how these can be used to give alternative proofs of long-standing results, such as Euler's pentagonal number theorem. I will then briefly discuss the so-called Rogers-Ramanujan identities and interpret these as identities in the theory of integer partitions.

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