{ "id": "math/0510293", "version": "v1", "published": "2005-10-14T07:07:55.000Z", "updated": "2005-10-14T07:07:55.000Z", "title": "On some p-adic power series attached to the arithmetic of $\\mathbb Q(ΞΆ\\_p).$", "authors": [ "Bruno Angles" ], "categories": [ "math.NT" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2005-10-14T07:07:55.000Z" } ], "analyses": { "keywords": [ "p-adic power series", "arithmetic", "iwasawa power series", "p-adic l-functions", "washington" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math.....10293A" } } }