Analytic Combinatorics in Several Variables

The book Analytic Combinatorics in Several Variables by Robin Pemantle, Mark C. Wilson, and Stephen Melczer will be published in 2023 by Cambridge University Press. The book is aimed at researchers in analytic combinatorics, and fields in which enumerative questions arise that can be solved by the methods of analytic combinatorics.

The manuscript for the second edition, as submitted to the publisher, is available here.

The book is undergoing CUP’s printing process and should be available for purchase shortly.


Code working through the examples in this book will be posted here shortly.

First Edition

The first edition of the book was published in 2013.

Reviews of First Edition

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.