### Meromorphic extensions of generalised zeta functions.

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We study a definition of entropy for ${\mathbb{Z}}^{+}\times {\mathbb{Z}}^{+}$-actions (or ${\mathbb{Z}}^{2}$-actions) due to S. Friedland. Unlike the more traditional definition, this is better suited for actions whose generators have finite entropy as single transformations. We compute its value in several examples. In particular, we settle a conjecture of Friedland [2].

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