4 papers
The uniform asymptotics for real double Hurwitz numbers with triple ramification II: lower bounds and asymptotics
Yanqiao Ding, Kui Li, Huan Liu +1
This is the second of two papers on the uniform asymptotics for real double Hurwitz numbers with triple ramification. Using the modified tropical correspondence theorem established…
The uniform asymptotics for real double Hurwitz numbers with triple ramification I: the tropical correspondence
Yanqiao Ding, Kui Li, Huan Liu +1
This is the first of two papers on the uniform asymptotics for real double Hurwitz numbers with triple ramification. Real double Hurwitz numbers with triple ramification count the…
On the Composition of the Euler Function and the Dedekind Arithmetic Function
Aimin Guo, Huan Liu, Qiyu Yang
Let and , where is Euler's function and is Dedekind's arithmetic function. We obtain the ma…
Combinatorial proofs of several partition identities of Andrews and Merca
Ji-Cai Liu, Huan Liu
Based on a bijection due to Fu and Tang, we provide combinatorial proofs of several partition identities of Andrews and Merca. We also introduce two weights for partitions to exten…