Zeros of the derivatives of the Riemann zeta-function

Haseo Ki, Yoonbok Lee

Research output: Contribution to journalArticle

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 T4/7 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 languageEnglish
Pages (from-to)79-87
Number of pages9
JournalFunctiones et Approximatio, Commentarii Mathematici
Volume47
Issue number1
DOIs
Publication statusPublished - 2012 Jan 1

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Riemann zeta function
Derivative
Zero
Line
Asymptotic Formula
Mean Square

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Zeros of the derivatives of the Riemann zeta-function. / Ki, Haseo; Lee, Yoonbok.

In: Functiones et Approximatio, Commentarii Mathematici, Vol. 47, No. 1, 01.01.2012, p. 79-87.

Research output: Contribution to journalArticle

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