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

研究成果: ジャーナルへの寄稿記事

3 引用 (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.

元の言語英語
ページ(範囲)69-95
ページ数27
ジャーナルFunctiones et Approximatio, Commentarii Mathematici
53
発行部数1
DOI
出版物ステータス出版済み - 12 1 2015

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Riemann hypothesis
Riemann zeta function
Derivative
Zero
Generalise
Integer
Estimate

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

これを引用

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