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math.NT2021
Absolute Bounds for Ergodic Deviations of Toral Translations Relative to Triangles in
Hao Wu
Following Beck's work on toral translations relative to straight boxes in , we prove a weaker upper bound and the same lower bound for ergodic discrepancies of toral…
math.NT2021
Almost Sure Bounds for Discrepancies of Linear Forms on the Circle
Hao Wu
As a generalization of irrational rotations and a dual case of higher-dimensional Kronecker sequences, we study the discrepancy of sequences of linear forms on the circle. Given ir…