ARITHMETICAL FUNCTIONS IN SEVERAL VARIABLES.
- Resource Type
- Article
- Authors
- ALKAN, EMRE; ZAHARESCU, ALEXANDRU; ZAKI, MOHAMMAD
- Source
- International Journal of Number Theory. Sep2005, Vol. 1 Issue 3, p383-399. 17p.
- Subject
- *INTEGRAL domains
*RING theory
*MATHEMATICAL variables
*RING extensions (Algebra)
*NUMBER theory
- Language
- ISSN
- 1793-0421
In this paper we investigate the ring Ar(R) of arithmetical functions in r variables over an integral domain R. We study a class of absolute values, and a class of derivations on Ar(R). We show that a certain extension of Ar(R) is a discrete valuation ring. We also investigate the metric structure of the ring Ar(R). [ABSTRACT FROM AUTHOR]