Zeros of the derivatives of the Riemann zeta-function

Haseo Ki; Yoonbok Lee

doi:10.7169/facm/2012.47.1.7

Zeros of the derivatives of the Riemann zeta-function

Haseo Ki, Yoonbok Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

Levinson and Montgomery in 1974 proved many interesting formulae on the zeros of derivatives of the Riemann zeta function ζ(s). When Conrey proved that at least 2/5 of the zeros of the Riemann zeta function are on the critical line, he proved the asymptotic formula for the mean square of ζ(s) multiplied by a mollifier of length T^4/7 near the 1/2-line. As a consequence of their papers, we study some aspects of zeros of the derivatives of the Riemann zeta function with no assumption.

Original language	English
Pages (from-to)	79-87
Number of pages	9
Journal	Functiones et Approximatio, Commentarii Mathematici
Volume	47
Issue number	1
DOIs	https://doi.org/10.7169/facm/2012.47.1.7
Publication status	Published - 2012

Bibliographical note

Funding Information:
This work was supported by the Korea Science and Engineering Foundation (KOSEF) grant funded by the Korea government(MOST) (No. R01-2007-000-20018-0).

Publisher Copyright:
© Wydawnictwo Naukowe UAM, Poznań 2012.

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.7169/facm/2012.47.1.7

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Zeros of the derivatives of the Riemann zeta-function

Abstract

Bibliographical note

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