Valuations on the ring of arithmetical functions

A. Zaharescu, M. Zaki

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)115-119
Number of pages5
JournalActa Mathematica Universitatis Comenianae
Issue number1
StatePublished - Mar 31 2009


  • Arithmetical functions
  • Independent valuations

ASJC Scopus subject areas

  • Mathematics(all)


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