Abstract
In this paper we present a short study of the ring of complex-valued arithmetic functions defined on the ring of Gaussian integers. We investigate an absolute value and the corresponding metric structure on this ring.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1923-1932 |
| Number of pages | 10 |
| Journal | International Journal of Number Theory |
| Volume | 9 |
| Issue number | 8 |
| DOIs | |
| State | Published - Dec 2013 |
Keywords
- Gaussian integers
- arithmetic functions
- valuations
ASJC Scopus subject areas
- Algebra and Number Theory