Ae Ja YeeAffiliation: Pennsylvania State University Email: ajyee@psu.edu Title Of Talk: Legendre Theorems for subclasses of partitions/overpartitions Abstract: A. M. Legendre noted that Euler's pentagonal number theorem implies that the number of partitions of n into an even number of distinct parts almost always equals the number of partitions of n into an odd number of distinct parts (the exceptions occur when n is a pentagonal number). Subsequently other classes of partitions, including overpartitions, have yielded related Legendre theorems. In this talk, we examine some subclasses of partitions and overpartitions that have surprising Legendre theorems. This is joint work with George Andrews.
Last update made Mon Feb 15 20:03:41 PST 2016.
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