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

Hiromasa Nakayama
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Abstract

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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Hiromasa Nakayama. 2006-06-19. An Algorithm Computing the Local $b$ Function by an Approximate Division Algorithm in $\hat{\mathcal{D}}$. https://arxiv.org/abs/math/0606437

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