Lower estimate of the exponential sums of the sequence (αn +βlogn) and its application to the discrepancy

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概要

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• Wｅ obtain a lower bound for the discrepancy of the sequence (αn + βlogn), where α is an irrational number and β is a non-zero real number. In order to show the result, we estimate the exponential sums by the saddle-point method.

• 鳥取大学の論文

著者

• Ohkubo Yukio

  Department Of Business Administration The Internation University Of Kagoshima

• Goto Kazuo

  University Education Center, Tottori University

• Goto Kazuo

  University Education Center Tottori University

関連論文

• Lower estimate of the exponential sums of the sequence (αn +βlogn) and its application to the discrepancy

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