Extends Hardy-Littlewood asymptotics on lattice points in irrational triangles to higher-dimensional simplices.
Skriganov,Constructions of uniform distributions in terms of geometry numbers, Al- gebra i Analiz,6(3), (1994), 200–230; reprinted in St.Petersburg Math
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Estimates lattice sums for integer point counting in polyhedra via multiplicative Diophantine approximation.
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Integer points in a simplex and related Diophantine problems: Hardy--Littlewood asymptotics in higher dimensions
Extends Hardy-Littlewood asymptotics on lattice points in irrational triangles to higher-dimensional simplices.
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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.