Analytic Combinatorics in Several Variables
This page collects the errata for the book Analytic Combinatorics in Several Variables, 2nd Editition by Robin Pemantle, Mark C. Wilson, and Stephen Melczer.

Section 4.2: The name $K$ is used for two different cones. The first is the union of rays emanating from the origin in the complex plane that make an angle between $\pi/2$ and $\pi/2$ with the positive $x$axis. The second is half as big: the angle has to be between $\pi/(2k)$ and $\pi/(2k)$. On this cone, call it $K\prime$, the real part of $z^k$ is positive. After the initial introduction of $K$ in order to define the principal $k$th root, further mentions including both Figures 4.1 and 4.2 and the phrase “On compact subsets of $K$”, should refer to $K\prime$ in place of $K$.

Definition 7.27 and the preceding two paragraphs: the radius of the balls $B_{2\varepsilon}$ should be a new parameter $r$ and $\varepsilon=\varepsilon(r)$ in $\mathcal{M}_{\leq c\varepsilon}$ should be arbitrarily small (and may depend on $r$).

Example 9.39: From the second paragraph down the function $g(x)$ should be $\phi(x)$.

Theorem C.10: The quantity $\lambda = \mathbf{r}$.
Errata for first edition
Owing to an error by the publisher, early copies of the book are missing the list of symbols (which is very important for understanding the book). It can be downloaded from the publisher’s website.
The first edition contains a vast number of typos and other errors that were fixed in the second edition (in addition to new results and an overall simplified presentation). It is highly recommended that readers in 2023 and beyond consult the second edition over the first.