Title	Power series with coefficients from a finite set
Creator	Chen, Shaoshi
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-09-19T16:02
Description	A D-finite power series satisfies a system of linear partial differential equations with polynomial coefficients of special type. This class of power series has been systematically investigated by Stanley in his book Enumerative Combinatorics (Volume II). We prove that a multivariate D-finite power series with coefficients from a finite set is rational. This generalizes a rationality theorem of van der Poorten and Shparlinski in 1996. As an application, we will show how this result can be used to study the nonnegative integer points on algebraic varieties. This is a joint work with Jason P. Bell.
Extent	27 minutes
Subject	Mathematics; Combinatorics; Sequences, series, summability; Discrete mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Chinese Academy of Sciences
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-03-30
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0364587
URI	http://hdl.handle.net/2429/65032
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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