An abstract Möbius inversion formula with number-theoretic applications
type: Item
instance of: scholarly article
title: An abstract Möbius inversion formula with number-theoretic applications
zbMATH Open document ID: 0828.11003
DOI: 10.1016/0012-365X(95)94398-V
author: Pentti Haukkanen
published in: Discrete Mathematics
publication date: 1995-08-27T00:00:00Z
review text: The author proves an abstract inversion formula on partially ordered sets. It contains the classical Möbius inversion theorem and also well- known forms with \(A\)-convolutions and arithmetical functions in two variables. He applies it to the number of solutions of a restricted linear congruence in several variables.
Mathematics Subject Classification ID: 11A25
Mathematics Subject Classification ID: 11A07
zbMATH DE Number: 790752
zbMATH Keywords: convolution
zbMATH Keywords: inversion formula
zbMATH Keywords: partially ordered sets
zbMATH Keywords: arithmetical functions
zbMATH Keywords: restricted linear congruence in several variables
reviewed by: Jürgen Spilker
MaRDI profile type: Publication
cites work: Q3050437
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cites work: The Theory of Multiplicative Arithmetic Functions
description: scientific article; zbMATH DE number 790752