On the distribution of partial sums of irrational rotations |
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Authors: | Mori Yoshiyuki Shimaru Naoto Takashima Keizo |
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Affiliation: | 1.Department of Applied Mathematics, Okayama University of Science, 1-1 Ridai-cho, Okayama, 700-0005, Japan ;2.Department of Applied Mathematics, Graduate School of Science, Okayama University of Science, 1-1 Ridai-cho, Okayama, 700-0005, Japan ; |
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Abstract: | Periodica Mathematica Hungarica - For an irrational $$alpha $$ , we investigate the sums $$sum _{i=1}^n left( {i alpha } - frac{1}{2} right) $$ and $$sum _{i=1}^n left{ left( {i alpha... |
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