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math.NT2020
Distribution properties for t-hooks in partitions
William Craig, Anna Pun
Partitions, the partition function , and the hook lengths of their Ferrers-Young diagrams are important objects in combinatorics, number theory and representation theory. For…
math.NT2019
A note on the Higher order Turán inequalities for -regular partitions
William Craig, Anna Pun
Nicolas and DeSalvo and Pak proved that the partition function is log concave for . Chen, Jia and Wang proved that satisfies the third order Turán inequali…