2 papers
math.CO2025
An involution for a Catalan-tangent number identity
Dongsu Kim, Zhicong Lin
We provide an involution proof of a Catalan-tangent number identity arising from the study of peak algebra that was found by Aliniaeifard and Li. In the course, we find a new combi…
math.CO2025
An identity relating Catalan numbers to tangent numbers with arithmetic applications
Tongyuan Zhao, Zhicong Lin, Yongchun Zang
We prove a combinatorial identity relating Catalan numbers to tangent numbers arising from the study of peak algebra that was conjectured by Aliniaeifard and Li. This identity lead…