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Rigorous Analytic Combinatorics in Several Variables in SageMath

by Benjamin Hackl, Stephen Melczer, Andrew Luo, Jesse Selover, Elaine Y Wong
Publication Type
Conference Paper
Book Title
Proceedings of the 35th International Conference on Formal Power Series and Algebraic Combinatorics
Publication Date
Page Numbers
1 to 12
Volume
89B
Issue
90
Publisher Location
California, United States of America
Conference Name
35th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC)
Conference Location
Davis, California, United States of America
Conference Sponsor
UC Davis
Conference Date
-

We introduce the new [sage_acsv] package for the SageMath computer algebra system, allowing users to rigorously compute asymptotics for a large variety of multivariate sequences with rational generating functions. Using Sage's support for exact computations over the algebraic number field, this package provides the first rigorous implementation of algorithms from the theory of analytic combinatorics in several variables.