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math.NT2014
Finite Differences of the Logarithm of the Partition Function
William Y. C. Chen, Larry X. W. Wang, Gary Y. B. Xie
Let denote the partition function. DeSalvo and Pak proved that for , as conjectured by Chen. Mo…
math.CO2014
Average Size of a Self-conjugate (s, t)-Core Partition
William Y. C. Chen, Harry H. Y. Huang, Larry X. W. Wang
Armstrong, Hanusa and Jones conjectured that if are coprime integers, then the average size of an -core partition and the average size of a self-conjugate -core…