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比利时vs摩洛哥足彩 ,
university of california san diego

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math 269 - combinatorics

jang soo kim

sungkyunkwn university

hook length property of d-complete posets via q-integrals

abstract:

the hook length formula for d-complete posets states that the p-partition generating function for them is given by a product in terms of hook lengths. we give a new proof of the hook length formula using q-integrals. the proof is done by a case-by-case analysis consisting of two steps. first, we express the p-partition generating function for each case as a q-integral and then we evaluate the q-integrals. several q-integrals are evaluated using partial fraction expansion identities and others are verified by computer. this is joint work with meesue yoo.

host: brendon rhoades

january 9, 2018

9:00 am

ap&m 6402

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