Estimates lattice sums for integer point counting in polyhedra via multiplicative Diophantine approximation.
Skriganov,Integer points in a simplex and related Diophantine problems: Hardy– Littlewood asymptotics in higher dimensions, (to appear)
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Multiplicative Diophantine approximation and bounds for lattice sums
Estimates lattice sums for integer point counting in polyhedra via multiplicative Diophantine approximation.