# Erratum to: Search for PeVatrons at the Galactic Center using a radio air-shower array at the South Pole

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## 1 Erratum to: Eur. Phys. J. C (2018) 78:111 https://doi.org/10.1140/epjc/s10052-018-5537-2

The original article contains typographic errors in the Appendix B, which deals with the process of generating a noise trace. The results presented in the article are unaffected as they were derived with the correct versions of these equations.

The correction concerns a missing square root in Eqs. (7) and (9). The corrected equations are given here. The electric field developed on the antenna arm is given byThe resulting voltage (Eq. (9) in the original article) can then be then re-written as

$$\begin{aligned} \begin{aligned} |\overrightarrow{E}|=\,&\sqrt{S_{\mathrm {rec}}2Z_0} \quad [ \text {V/m}]\\ =\,&\sqrt{\frac{1}{2}2Z_0\frac{2k_\mathrm {B}\nu ^2 \delta \nu }{c^2} \int T(\theta , \phi ) \; \mathrm {d}\varOmega }. \end{aligned} \end{aligned}$$

(7)

$$\begin{aligned} V(\nu ) = \sqrt{2Z_0\frac{k_\mathrm {B} \nu ^2 \delta \nu }{c^2} \int T(\theta ,\phi )\; |\overrightarrow{l_{\mathrm {eff}}}(\theta , \phi )|^2 \; \mathrm {d}\varOmega }. \end{aligned}$$

(9)

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© The Author(s) 2018

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