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

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

2005-10-14

arxiv.org/abs/math/0510293v1

Mathematics

Number Theory

Scientific paper

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

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