In this paper we study a class of nontrivial independent absolute values on the ring A of arithmetical functions over the field C of complex numbers. We show that A is complete with respect to the metric structure obtained from each of these absolute values. We also consider an Artin-Whaples type theorem in this context.
|Original language||English (US)|
|Number of pages||5|
|Journal||Acta Mathematica Universitatis Comenianae|
|State||Published - Mar 31 2009|
- Arithmetical functions
- Independent valuations
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