Abstract
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) |
|---|---|
| Pages (from-to) | 115-119 |
| Number of pages | 5 |
| Journal | Acta Mathematica Universitatis Comenianae |
| Volume | 78 |
| Issue number | 1 |
| State | Published - Mar 31 2009 |
Keywords
- Arithmetical functions
- Independent valuations
ASJC Scopus subject areas
- Mathematics(all)