## Unsolved Problems Concerning Lattice Points |

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abstract admissible affine transformation analogous applied arrangement boundary bounded called central symmetric convex classes closed combinatorial compact compactness theorem conjecture Consider constant consult contains convergence convex body theorem convex sets coordinates covering curve defined definition denote density determinant directions discs Ehrhart equations established estimates exists extended extremal Fejes Toth finite geometry geometry of numbers given graph Groemer Hadwiger Hammer independent inequality infinite instance integer interesting known lattice points least London Mahler Math Mathematics maximal measure method minima Minkowski's Monthly n-dimensional number of lattice obtained origin packing pair parallel parameters particular partition plane posed positive possible problems Proc proof proved question references region respect rotation satisfying showed shown sides similar space sphere square star body subset Suppose surface theory transformation true vertices volume York