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math.CO2023
Analytic aspects of generalized central trinomial coefficients
Huyile Liang, Yaling Wang, Yi Wang
The divisibility and congruence of usual and generalized central trinomial coefficients have been extensively investigated. The present paper is devoted to analytic properties of t…
math.CO2023★ 6 cited
Analytic combinatorics of coordination numbers of cubic lattices
Huyile Liang, Yanni Pei, Yi Wang
We investigate coordination numbers of the cubic lattices with emphases on their analytic behaviors, including the total positivity of the coordination matrices, the distribution o…