2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127513We determine all irreducible representations of primary quasi-cyclotomic fields in this paper. The methods can be applied to determine the irreducible representations of any quasi-cyclotomic field. We also compute the Artin L-functions for a class of quasi-cyclotomic fields.17 pagesNumber Theory11R45;11R80;20C15Irreducible representations and Artin L-functions of quasi-cyclotomic fieldstext