By Dubi Kelmer

Given a unimodular lattice *\Lambda\subseteq \mathbb{R}^2* consider the counting function *\mathcal{N}_\Lambda(T)* counting the number of lattice points of norm less than *T*, and the remainder *\mathcal{R}_\Lambda(T)=\mathcal{N}(T)-\pi T^2*. We give an elementary proof that the mean square of the remainder over the set of all shears of a unimodular lattice is... Show more

August 3, 2015

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