Zhaohu Nie

collaborators

2 papers

math.NT2025

Cusps and boundaries of connected fundamental domains for $Γ_{0} (N)$

Zhaohu Nie

For $N > 1$ , we constructed a canonical connected fundamental domain for $Γ_{0} (N)$ in [Nie, Parent], utilizing an interesting function $W : Z / N \to N$ . In this paper…

math.NT2024

Connected fundamental domains for congruence subgroups

Zhaohu Nie, C. Xavier Parent

We give explicit sets of right coset representatives for the congruence subgroups $Γ_{0} (N)$ , $Γ_{1} (N)$ and $Γ (N)$ , and prove that the corresponding unions of standard modular triangl…

Cusps and boundaries of connected fundamental domains for Γ0​(N)

Connected fundamental domains for congruence subgroups

Cusps and boundaries of connected fundamental domains for $Γ_{0} (N)$