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Bernstein–Sato polynomial

Known as: B-function, Bernstein-Sato polynomial, B-function lemma 
In mathematics, the Bernstein–Sato polynomial is a polynomial related to differential operators, introduced independently by Bernstein () and Sato… 
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Related topics

Related topics

6 relations
Approximation theoryBernstein polynomialDistribution (mathematics)Macaulay2

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Support Vector Machine (SVM) Based Sybil Attack Detection in Vehicular Networks
Vehicular networks have been drawing special atten- tion in recent years, due to its importance in enhancing driving experience… 
2016
2016
Bernstein-Sato Polynomials on Normal Toric Varieties
We generalize the Bernstein-Sato polynomials of Budur, Mustata and Saito to ideals in normal semigroup rings. In the case of… 
Review
2010
Review
2010
Algorithms for Bernstein--Sato polynomials and multiplier ideals
The Bernstein--Sato polynomial (or global b-function) is an important invariant in singularity theory, which can be computed… 
2010
2010
Zeta functions and Bernstein–Sato polynomials for ideals in dimension two
For a nonzero ideal $\mathcal {I}\lhd \mathbf {C}[x_{1},\ldots,x_{n}]$, with $0\in \operatorname {supp}\mathcal {I}$, a… 
2009
2009
Principal intersection and bernstein-sato polynomial of an affine variety
We present a general algorithm for computing an intersection of a left ideal of an associative algebra over a field with a… 
2005
2005
Combinatorial Description of the Roots of the Bernstein–Sato Polynomials for Monomial Ideals
We give a combinatorial description of the roots of the Bernstein–Sato polynomial of a monomial ideal using the Newton polyhedron… 
Highly Cited
2002
Highly Cited
2002
Space-charge effects in high brightness electron beam emittance measurements
The measurement of emittance in space-charge dominated, high brightness beam systems is investigated from conceptual… 
Highly Cited
1997
Highly Cited
1997
Algorithms for the b-function and D-modules associated with a polynomial
Highly Cited
1995
Highly Cited
1995
Calcium Regulation by Calcium-Binding Proteins in Neurodegenerative Disorders
1. Introduction.- 2. Structures of EF-Hand Ca2+-Binding Proteins and Annexins.- 3. Gene Structures and Chromosomal Assignments of… 
Highly Cited
1991
Highly Cited
1991
Ill-convergence of Godard blind equalizers in data communication systems
The existence of stable undesirable equilibria for the Godard algorithm is demonstrated through a simple autoregressive (AR… 
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