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arxiv: 1512.06012 · v1 · pith:MVQOO5KBnew · submitted 2015-12-18 · 🧮 math.NT

On the mean square of the remainder for the Euclidean lattice point counting problem

classification 🧮 math.NT
keywords latticecountingmeanpointproblemremaindersquareaveraged
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We give mean square bounds for the remainder in the lattice point counting problem, counting the number of lattice points in a large ball in $\mathbb{R}^d$, when averaged over families of shears of the lattice.

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