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On some p-adic power series attached to the arithmetic of $\mathbb Q(ζ\_p).$

Bruno Angles
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Abstract

In this paper, we prove that the derivative of the Iwasawa power series associated to p-adic L-functions of $\mathbb Q(ζ\_p)$ are not divisible by p. This extends previous results obtained by Ferrero and Washington in 1979.

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Bruno Angles. 2005-10-14. On some p-adic power series attached to the arithmetic of $\mathbb Q(ζ\_p).$. https://arxiv.org/abs/math/0510293

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