Article
Discrepancies of Irrational Rotations With Isolated Large Partial Quotients
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Abstract
We give some refinements of results of Schoissengeier on the dis- crepancies of irrational rotations. Using these refinements, we give an explanation for the unusual behavior of the discrepancies of irrational rotations based on some specific numbers having isolated large partial quotients in their continued fraction expansion.
Keywords
Discrepancy, irrational rotations, continued fractions, Ostrowski representation.
Citation
Setokuchi, T. & Takashima, K. (2014). Discrepancies of irrational rotations with isolated large partial quotients. Uniform Distribution Theory, 9(2), 31–57.
T. Setokuchi and K. Takashima, “Discrepancies of irrational rotations with isolated large partial quotients,” Uniform Distribution Theory, vol. 9, no. 2, pp. 31–57, 2014.
Setokuchi T, Takashima K. Discrepancies of irrational rotations with isolated large partial quotients. Uniform Distribution Theory. 2014;9(2):31–57.
Setokuchi, T. and Takashima, K. (2014), ‘Discrepancies of irrational rotations with isolated large partial quotients’, Uniform Distribution Theory, 9(2), pp. 31–57.
Setokuchi, Takayoshi, and Keizo Takashima. “Discrepancies of Irrational Rotations with Isolated Large Partial Quotients.” Uniform Distribution Theory, vol. 9, no. 2, 2014, pp. 31–57.
Setokuchi, Takayoshi, and Keizo Takashima. “Discrepancies of Irrational Rotations with Isolated Large Partial Quotients.” Uniform Distribution Theory 9, no. 2 (2014): 31–57.
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Published by: Engineering Journals
