1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.CO2026★ 1 cited
Zeta Functions for Spherical Tits Buildings of Finite General Linear Groups
Jianhao Shen
In this paper, we define edge zeta functions for spherical buildings associated with finite general linear groups. We derive elegant formulas for these zeta functions and reveal pa…
math.GR2026
Symplectic lattice counting and zeta functions of higher Heisenberg groups
Jianhao Shen, Christopher Voll
We derive explicit formulae for the subalgebra zeta functions of all higher Heisenberg Lie algebras over an arbitrary compact discrete valuation ring . To this end, w…
math.CO2026
Edge Zeta Functions and Eigenvalues for Buildings of Finite Groups of Lie Type
Jianhao Shen
For the Tits building B(G) of a finite group of Lie type G(Fq), we study the edge zeta function, which enumerates edge-geodesic cycles in the 1-skeleton. We show that every nonzero…