Algebraic approach to p-adic conversion of rational numbers
type: Item
instance of: scholarly article
title: Algebraic approach to p-adic conversion of rational numbers
zbMATH Open document ID: 0548.68035
DOI: 10.1016/0020-0190(84)90022-X
author: Alfonso Miola
published in: Information Processing Letters
publication date: 1984-01-01T00:00:00Z
review text: It is shown how the extended Euclidean algorithm can be used to recover rational numbers from their Hensel codes (truncated p-adic expansions). The formulae for calculating p-adic expansions appear to be wrong, though the examples given are correct.
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 94B40
Mathematics Subject Classification ID: 11A63
Mathematics Subject Classification ID: 11A55
zbMATH DE Number: 3874604
zbMATH Keywords: p-adic arithmetic
zbMATH Keywords: continued fractions
zbMATH Keywords: extended Euclidean algorithm
zbMATH Keywords: rational numbers
zbMATH Keywords: Hensel codes
zbMATH Keywords: p-adic expansions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3874604