English

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

Number Theory 2007-05-23 v1

Abstract

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

Keywords

Cite

@article{arxiv.math/0510293,
  title  = {On some p-adic power series attached to the arithmetic of $\mathbb Q(\zeta\_p).$},
  author = {Bruno Angles},
  journal= {arXiv preprint arXiv:math/0510293},
  year   = {2007}
}