8 citations · 28 across the 17 of their papers we have counts for
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The structures of simple Hurwitz numbers and monotone Hurwitz numbers with varying genus
Chenglang Yang
We study the structures of ordinary simple Hurwitz numbers and monotone Hurwitz numbers with varying genus. More precisely, we prove that when the ramification type is fixed and th…
On -Coefficient Binomial Polynomiality of Hurwitz Numbers and Generalized Dessin Counting
Zhiyuan Wang, Chenglang Yang
In this paper, we study a certain type of Hurwitz numbers which count branched covers over the Riemann sphere admitting several branch points with fixed ramification types, one bra…
Schröder Paths, Their Generalizations and Knot Invariants
Ce Ji, Qian Tang, Chenglang Yang
We study some kinds of generalizations of Schröder paths below a line with rational slope and derive the -difference equations that are satisfied by their generating functions.…
Hook-Lengths, Symplectic/Orthogonal Contents and Amdeberhan's Conjectures
Chenglang Yang
The symplectic/orthogonal contents of partitions are related to the dimensions of irreducible representations of symplectic/orthogonal groups. In 2012, motivated by Nekrasov--Okoun…