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On the distribution of partial sums of irrational rotations
Authors:Mori  Yoshiyuki  Shimaru  Naoto  Takashima  Keizo
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
;
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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