On Sarnak--Strömbergsson conjecture

Senping Luo, Juncheng Wei

Let $\Th(α,L)=\sum_{v\in L}e^{-πα|v|^2}$ for $\alpha >0$ and $E(L,s)={\sum }_{v\in L\setminus \{0\}}|v{|}^{-2s}$ for $s>3/2$ be the theta and Epstein zeta functions associated to the lattice $…