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On Sarnak--Strömbergsson conjecture

Luo, Senping et al.
arXiv (OAI Expanded) · Papers
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analysis-of-pdesclassical-analysis-and-odesmathematical-physicsnumber-theory
Let $\Th(α,L)=\sum_{v\in L}e^{-πα|v|^2}$ for $α>0$ 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 $L$, respectively. We are particularly interested in physically relevant dimension three. Fix the covolume of the l
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