Zhen Guo

collaborators

2 papers

math.NT2025

On the mean square of the error term for the asymmetric two-dimensional divisor problem with congruence conditions

Zhen Guo, Jinjiang Li, Linji Long +1

Suppose that $a$ and $b$ are positive integers subject to $(a, b) = 1$ . For $n \in Z^{+}$ , denote by $I ¨ _{a, b} (n; ℓ_{1}, M_{1}, l_{2}, M_{2})$ the asymmetric two--dimensional divisor func…

math.CO2025

Embedding a Praeger-Xu graph into a surface

Zhaochen Ding, Zheng Guo, Luyi Liu

Rotary maps (orientably regular maps) are highly symmetric graph embeddings on orientable surfaces. This paper classifies all rotary maps whose underlying graphs are Praeger-Xu gra…