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On the Convergence of Mean Values Over Lattices

On the Convergence of Mean Values Over Lattices

Recently C. A.Rogers (2, Theorem 4) proved the following theorem which applies to many problems in geometry of numbers: Let f (X 1 ,X 2 , … , X k ) be a non-negative B or el-measurable function in the nk-dimensional space of points (X 1 ,X 2 . Further, …