42 citations · 48 across the 11 of their papers we have counts for
14 papers
Higher Order Turán Inequalities for the Partition Function
William Y. C. Chen, Dennis X. Q. Jia, Larry X. W. Wang
The Turán inequalities and the higher order Turán inequalities arise in the study of Maclaurin coefficients of an entire function in the Laguerre-Pólya class. A real sequence $\{a_…
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…
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…
Infinitely Log-monotonic Combinatorial Sequences
William Y. C. Chen, Jeremy J. F. Guo, Larry X. W. Wang
We introduce the notion of infinitely log-monotonic sequences. By establishing a connection between completely monotonic functions and infinitely log-monotonic sequences, we show t…
Zeta Functions and the Log-behavior of Combinatorial Sequences
William Y. C. Chen, Jeremy J. F. Guo, Larry X. W. Wang
In this paper, we use the Riemann zeta function and the Bessel zeta function to study the log-behavior of combinatorial sequences. We prove that is log-conve…
Interlacing Log-concavity of the Boros-Moll Polynomials
William Y. C. Chen, Larry X. W. Wang, Ernest X. W. Xia
We introduce the notion of interlacing log-concavity of a polynomial sequence , where is a polynomial of degree m with positive coefficients $a_{i}(m…