Correction: Jerby, Y. On the Approximation of the Hardy Z-Function via High-Order Sections. Axioms 2024, 13, 577

There were errors in the original publication [1]. A required correction has been made to Equations (5) and (8), as follows:

$$R\left(t\right)=O\left({\displaystyle \frac{1}{\sqrt[4]{t}}}\right)$$

(5)

$$Z\left(t\right)=Z_{N\left(t\right)}\left(t\right)+O\left({\displaystyle \frac{1}{\sqrt[4]{t}}}\right)$$

(8)

In Section 1.3, the context has been corrected as follows:

The theoretical asymptotic estimation of Spira’s approximation error, obtained by classical means, is $O\left({\displaystyle \frac{1}{\sqrt[4]{t}}}\right)$, which is similar to that of the Hardy–Littlewood formula.

The authors state that the scientific conclusions are unaffected. This correction was approved by the Academic Editor. The original publication has also been updated.