Analytic Combinatorics in Several Variables (ACSV) is an emerging field of combinatorics that develops tools for the asymptotic analysis of multivariate generating functions and discrete structures with parameters. ACSV is inherently interdisciplinary, adapting and extending results in complex analysis in one and several variables, the asymptotics of integrals, topology, algebraic geometry, and symbolic computation. These results are explicit enough to be implemented in computer algebra software, and powerf
This website collects updating lists of references forming the core theory of ACSV, applications of ACSV, and software for ACSV, and hosts the webpage for the textbook Analytic Combinatorics in Several Variables (2nd Edition) by R. Pemantle, M. C. Wilson, and S. Melczer.
The American Institute of Mathematics (AIM) held a workshop Analytic Combinatorics in Several Variables in April 2022.