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SUMMARY:James Sellers (University of Minnesota Duluth)
DTSTART:20220524T180000Z
DTEND:20220524T182500Z
DTSTAMP:20260423T011320Z
UID:CANT2022/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2022/9/"
 >Relating the crank of a partition and smallest missing parts</a>\nby Jame
 s Sellers (University of Minnesota Duluth) as part of Combinatorial and ad
 ditive number theory (CANT 2022)\n\n\nAbstract\nThe primary goal of this t
 alk is to demonstrate a natural connection between the smallest missing pa
 rt of an integer partition (commonly referred to as the ``mex" of the part
 ition) and the concept of the crank of a partition. After providing a brie
 f history of the crank of a partition a la Dyson as well as Andrews and Ga
 rvan\, we will utilize straightforward generating function manipulations t
 o make this connection. We will then consider additional results on the me
 x statistic based on parity\, and we will also demonstrate connections bet
 ween the crank and Frobenius symbols which satisfy certain conditions. \n\
 nThis work is joint with Brian Hopkins\, Dennis Stanton\, and Ae Ja Yee.\n
LOCATION:https://researchseminars.org/talk/CANT2022/9/
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