On the zeros of the κ-TH derivative of the riemann zeta function under the riemann hypothesis

研究成果: Contribution to journalArticle査読

4 被引用数 (Scopus)

抄録

The number of zeros and the distribution of the real part of non-real zeros of the derivatives of the Riemann zeta function have been investigated by Berndt, Levinson, Montgomery, and Akatsuka. Berndt, Levinson, and Montgomery studied the general case, meanwhile Akatsuka gave sharper estimates for the first derivative of the Riemann zeta function under the truth of the Riemann hypothesis. In this paper, we generalize the results of Akatsuka to the k-th derivative (for positive integer κ) of the Riemann zeta function.

本文言語英語
ページ(範囲)69-95
ページ数27
ジャーナルFunctiones et Approximatio, Commentarii Mathematici
53
1
DOI
出版ステータス出版済み - 12 1 2015
外部発表はい

All Science Journal Classification (ASJC) codes

  • 数学 (全般)

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