Conditional estimates for error terms related to the distribution of zeros of ζ′(s)

Material type: 文書・図像類

Author: Akatsuka, Hirotaka

Publisher: Elsevier

Publication date: 2012-04

Material Format: Digital

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NDC: 412

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Note (General)：: Berndt and Levinson-Montgomery investigated the distribution of nonreal zeros of derivatives of the Riemann zeta function, including the number of zer...

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Material Type: 文書・図像類
Title: Conditional estimates for error terms related to the distribution of zeros of ζ′(s)
Author/Editor: Akatsuka, Hirotaka
Author Heading: Akatsuka, Hirotaka
Publication, Distribution, etc.: Elsevier
Publication Date: 2012-04
Publication Date (W3CDTF): 2012-04
Periodical title: Journal of Number Theory
No. or year of volume/issue: 132 10
Volume: 132
Issue: 10
Pages: 2242-2257
ISSN (Periodical Title): ISSN : 0022-314X
Text Language Code: eng
Subject Heading: Riemann zeta function
Derivative
Zeros
数学
NDC: 412
410
Target Audience: 一般
Note (General): Berndt and Levinson-Montgomery investigated the distribution of nonreal zeros of derivatives of the Riemann zeta function, including the number of zeros up to a height T and the distribution of the real part of nonreal zeros. In this paper we obtain sharper estimates for the error terms of their results in the case of the first derivative of the Riemann zeta function, under the truth of the Riemann hypothesis.
Access Restrictions: 限定公開
Rights (production): http://www.sciencedirect.com/science/article/pii/S0022314X12001333
Related Material (DOI): 10.1016/j.jnt.2012.04.012
Periodical Title (NCID): AA00703731
https://ci.nii.ac.jp/ncid/AA00703731
Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
https://irdb.nii.ac.jp
Original Data Provider (Database): 小樽商科大学 : 小樽商科大学学術成果コレクション