An abstract Möbius inversion formula with number-theoretic applications (Q1896347)
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scientific article; zbMATH DE number 790752
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An abstract Möbius inversion formula with number-theoretic applications |
scientific article; zbMATH DE number 790752 |
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An abstract Möbius inversion formula with number-theoretic applications (English)
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27 August 1995
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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.
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convolution
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inversion formula
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partially ordered sets
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arithmetical functions
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restricted linear congruence in several variables
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