Senping Luo

collaborators

3 papers

math.AP2025

Signs of high order derivatives for the theta and Epstein zeta functions and application

Deng Kaixin, Luo Senping

In the 1950s, 1960s and 1988, number theorists Rankin \cite{Ran1953}, Cassels \cite{Cas1959}, Ennola \cite{Enn1964a}, Diananda \cite{Dia1964}, and Montgomery \cite{Mon1988} derived…

math.AP2024

A new type of minimizers in lattice energy and its application

Kaixin Deng, Senping Luo

Let $z \in H := {z = x + i y \in C : y > 0}$ and $\mathcal{K}(α;z):=\sum_{ (m,n)\in \mathbb{Z} ^2 }\frac{{\left| mz+n \right|}^2}{{{\Im}(z)}}e^{-πα\frac{ \left|mz+n\right…

math.AP2024

Minimizing Lattice Energy and Hexagonal Crystallization

Kaixin Deng, Senping Luo

Consider the energy per particle on the lattice given by $min_{Λ} \sum_{P \in Λ} ∣ P ∣^{4} e^{- π α ∣ P ∣^{2}}$ , where $α > 0$ and $Λ$ is a tw…