Senping Luo

activity

20242026

collaborators

4 papers

math.CA2026

On ratios of theta functions

Senping Luo, Juncheng Wei

Motivated by the average partition function of c free bosons $($ Afhkami-Jeddi et al. \cite{Afhk2021} $)$ and the average of the genus 1 partition function over the Narain moduli spa…

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}(Î±;z):=\sum_{ (m,n)\in \mathbb{Z} ^2 }\frac{{\left| mz+n \right|}^2}{{{\Im}(z)}}e^{-ÏÎ±\frac{ \left|mz+n\ri…

math.AP2024

Minimizing Lattice Energy and Hexagonal Crystallization

Kaixin Deng, Senping Luo

Consider the energy per particle on the lattice given by $min_{I^} \sum_{P \in I^} ∣ P ∣^{4} e^{- I ¨ I^\pm ∣ P ∣^{2}}$ , where $I^\pm > 0$ and $I^$ i…