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Erratum to: “A generalization of the Goldston-Pintz-Yildirim prime gaps result to number fields”. (English) Zbl 1349.11140
Summary: There is a major misprint in the statement of the main result of my paper [Acta Math. Hung. 141, No. 1–2, 84–112 (2013; Zbl 1291.11133)] in all three instances where it was stated, namely, a logarithm is missing from the denominator. The second displayed equation of the abstract, the second displayed equation on page 85, and the final displayed equation of the paper in the theorem statement on page 111 should all read \[ \liminf_{\substack{ \omega_0,\omega_1\in\mathcal O_K\, \text{prime}\\ \omega_0\neq\omega_1}}\left| \frac{\mathbf{N}(\omega_1-\omega_0)}{\log \mathbf{N}\omega_0}\right| =0. \]
MSC:
11R80 Totally real fields
11R45 Density theorems
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[1] Kaptan, D.A., A generalization of the goldston-pintz-yildirim prime gaps result to number fields, Acta Math. Hungar., 141, 84-112, (2013) · Zbl 1291.11133
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