Avoid common mistakes on your manuscript.

**Correction to: Aequat. Math. 91 (2017), 1025–1040** https://doi.org/10.1007/s00010-017-0514-7

We correct an error in [1, Theorem 4.2(b)]. The correct statement of Theorem 4.2(b) is:

Let \(N\in \mathbb {N}{\setminus } \{1\}\) and \(\gamma \in K^*\). If \(f,g:K \rightarrow K\) are additive solutions of (2) with \(\phi (x)=\gamma x^N\), then there exist a derivation \(D:K \rightarrow K\) and a constant \(a\in K\) such that

The converse is also true.

In the original proof the mistake occurs at the bottom of p. 1030, where an *N* is missing from the last line of the calculation for *f*(*t*). It should read

This gives the form of *f* shown above (and the formula for *g* is already established).

For the converse we show that such *f* and *g* satisfy (2) with \(\phi (x) = \gamma x^N\) as follows.

for all \(x \in K\).

## Reference

Ebanks, B.: Linked pairs of additive functions. Aequat. Math.

**91**(6), 1025–1040 (2017)

## Author information

### Authors and Affiliations

### Corresponding author

## Additional information

### Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

## Rights and permissions

## About this article

### Cite this article

Ebanks, B. Correction to: Linked pairs of additive functions.
*Aequat. Math.* **98**, 1439–1440 (2024). https://doi.org/10.1007/s00010-024-01108-7

Received:

Revised:

Accepted:

Published:

Issue Date:

DOI: https://doi.org/10.1007/s00010-024-01108-7