The Möbius function on a unique factorization domain and application in an inverse cohesion problem (Q1334096)
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scientific article; zbMATH DE number 640470
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Möbius function on a unique factorization domain and application in an inverse cohesion problem |
scientific article; zbMATH DE number 640470 |
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The Möbius function on a unique factorization domain and application in an inverse cohesion problem (English)
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5 February 1995
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The authors invent the Möbius function for semigroups with unique factorization and show the standard theorems on inversion [see the reviewer, J. Reine Angew. Math. 266, 88-99 (1974; Zbl 0288.05007), for the definition and properties of these semigroups]. An example is given by the Möbius function of the multiplicative group of the Gaussian integers modulo units. It is applied to some function of mathematical physics.
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inversion theorems
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Möbius function for semigroups with unique factorization
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Gaussian integers
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0.8524256
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0.85204154
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0.84926206
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0.8466813
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0.8370924
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