\(p\)-adic measures and formal groups
type: Item
instance of: scholarly article
title: \(p\)-adic measures and formal groups
zbMATH Open document ID: 0782.11037
author: Nancy Childress
published in: Journal of Number Theory
publication date: 1993-10-18T00:00:00Z
review text: Let \(\mathbb{Z}_ p\) (resp. \({\mathcal O}\)) be the ring of integers of \(\mathbb{Q}_ p\) (resp. of a finite extension \(K\) of \(\mathbb{Q}_ p\)). Given an \({\mathcal O}\)-valued measure on \(\mathbb{Z}_ p^ n\), the author defines an \(n\)-variable \(L\)-function whose special values at the non-positive integers coincide with the moments of this measure. Such a measure corresponds to an \(n\)-dimensional formal group over \(K\) of the type considered in the author's joint papers with \textit{J. Stopple} [J. Number Theory 41, 283--294, 295--302 (1992; Zbl 0762.11047, Zbl 0762.11046)].
reviewed by: B. Z. Moroz
Mathematics Subject Classification ID: 11S40
Mathematics Subject Classification ID: 11S80
Mathematics Subject Classification ID: 11S31
Mathematics Subject Classification ID: 14L05
zbMATH DE Number: 431333
zbMATH Keywords: \(p\)-adic measure
zbMATH Keywords: formal groups
zbMATH Keywords: \(p\)-adic \(L\)-functions
MaRDI profile type: Publication
full work available at URL: jnth.1993.1058
OpenAlex ID: W2064114995
DOI: 10.1006/JNTH.1993.1058
description: scientific article; zbMATH DE number 431333