An Algorithm Computing the Local $b$ Function by an Approximate Division Algorithm in $\hat{\mathcal{D}}$

Details An Algorithm Computing the Local $b$ Function by an Approximate Division Algorithm in $\hat{\mathcal{D}}$ An Algorithm Computing the Local $b$ Function by an Approximate Division Algorithm in $\hat{\mathcal{D}}$

2006-06-19

arxiv.org/abs/math/0606437v1

Mathematics

Rings and Algebras

19 pages

Scientific paper

We give an algorithm to compute the local $b$ function. In this algorithm, we
use the Mora division algorithm in the ring of differential operators and an
approximate division algorithm in the ring of differential operators with power
series coefficient.

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