Zeros of the derivatives of the Riemann zeta-function

Haseo Ki, Yoonbok Lee

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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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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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