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math.CO2024
Multi-headed lattices and Green functions
Qipin Chen, Shane Chern, Lin Jiu
Lattice geometries and random walks on them are of great interest for their applications in different fields such as physics, chemistry, and computer science. In this work, we focu…
math.NT2024
Leading coefficient in the Hankel determinants related to binomial and -binomial transforms
Shane Chern, Lin Jiu, Shuhan Li +1
It is a standard result that the Hankel determinants for a sequence stay invariant after performing the binomial transform on this sequence. In this work, we extend the scenario to…