3 papers
math.NT2026
On Sarnak--Strömbergsson conjecture
Senping Luo, Juncheng Wei
Let $\Th(α,L)=\sum_{v\in L}e^{-πα|v|^2}$ for and for be the theta and Epstein zeta functions associated to the lattice $…
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.AP2023
On a variational model for the continuous mechanics exhibiting hexagonal to square Phase Transitions
Senping Luo, Juncheng Wei
Inspired by Conti and Zanzotto \cite{Conti2004A}, we reformulate a simple variational model for reconstructive phase transitions in crystals arising in continuum mechanics in the f…