8 citations · 28 across the 17 of their papers we have counts for
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Correlation Function of Self-Conjugate Partitions: -Difference Equation and Quasimodularity
Zhiyong Wang, Chenglang Yang
In this paper, we study the uniform measure for the self-conjugate partitions. We derive the -difference equation which is satisfied by the -point correlation function relate…
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…
On a Proof of the ADKMV Conjecture -- -KP Integrability of the Topological Vertex
Zhiyuan Wang, Chenglang Yang, Jian Zhou
We present a mathematical proof of the Aganagic-Dijkgraaf-Klemm-Mariño-Vafa Conjecture proposed in 2006, which states that the generating function of the topological vertex, i.e.,…