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Event Type:

Number Theory Seminar

Date/Time:

Tuesday, February 16, 2016 - 16:00 to 17:00

Location:

Gilkey 115

Abstract:

We consider the symmetrized moments of three partition ranks and cranks, similar to the work of Garvan for the rank and crank of ordinary partitions. By using Bailey pairs and elementary rearrangements, we are able to find useful expressions for these moments. We then deduce inequalities between the corresponding ordinary moments. Combinatorially interpreting the inequalities gives the higher order spt functions for overpartitions, overpartitions with smallest part even, and partitions with smallest part even and no repeated odds.