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An algorithm of computing b-functions

Name: An algorithm of computing b-functions
Creator: Oaku, Toshinori
Keywords: \(b\)-function, 35A20, algorithm, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Symbolic computation and algebraic computation, 01 natural sciences, 410, 35A27, Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs, Commutative rings of differential operators and their modules

An algorithm of computing \(b\)-functions

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Report 01 Mar 1997 Japan Publisher:Duke University PressJournal:Duke Mathematical Journal, volume 87 (issn: 0012-7094,

Authors: Oaku, Toshinori;

doi: 10.1215/s0012-7094-97-08705-6

handle: 2433/60136

An algorithm of computing b-functions

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Abstract

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Country

Japan

Related Organizations

Kyoto University
Japan

Keywords

\(b\)-function, 35A20, algorithm, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Symbolic computation and algebraic computation, 410, 35A27, Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs, Commutative rings of differential operators and their modules, Sheaves of differential operators and their modules, \(D\)-modules, differential operator, Rings of differential operators (associative algebraic aspects), Gröbner bases, Bernstein-Sato polynomial, 16S32

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	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%