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arXiv · 1910.05319

The Weierstrass preparation theorem and resultants of $p$-adic power series

Laurent Berger
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Abstract

We define the resultant of two power series with coefficients in the ring of integers of a $p$-adic field. In order to do this, we prove a universal version of the Weierstrass preparation theorem.

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Laurent Berger. 2019-10-11. The Weierstrass preparation theorem and resultants of $p$-adic power series. https://arxiv.org/abs/1910.05319

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