## Functiones et Approximatio Commentarii Mathematici

### Zeros of the derivatives of the Riemann zeta-function

#### Abstract

Levinson and Montgomery in 1974 proved many interesting formulae on the zeros of derivatives of the Riemann zeta function $\zeta(s)$. 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 $\zeta(s)$ 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.

#### Article information

Source
Funct. Approx. Comment. Math., Volume 47, Number 1 (2012), 79-87.

Dates
First available in Project Euclid: 25 September 2012

https://projecteuclid.org/euclid.facm/1348578278

Digital Object Identifier
doi:10.7169/facm/2012.47.1.7

Mathematical Reviews number (MathSciNet)
MR2987112

Zentralblatt MATH identifier
1312.11068

#### Citation

Ki, Haseo; Lee, Yoonbok. Zeros of the derivatives of the Riemann zeta-function. Funct. Approx. Comment. Math. 47 (2012), no. 1, 79--87. doi:10.7169/facm/2012.47.1.7. https://projecteuclid.org/euclid.facm/1348578278

#### References

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