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math.CO2026
Root-of-unity weighted trigonometric power sums: a constant term approach
Jiahang Liu, Guoce Xin
We present a unified method for evaluating finite sums of powers of cotangent, tangent, cosecant and secant weighted by primitive th roots of unity. The approach relies on const…
math.CO2026
Proof of a Conjecture on Young Tableaux with Walls
Zhicong Lin, Feihu Liu, Jiahang Liu +2
Banderier, Marchal, and Wallner considered Young tableaux with walls, which are similar to standard Young tableaux, except that local decreases are allowed at some walls. In this w…