Knopfmacher, Arnold Infinite product representations in complex quadratic fields. (English) Zbl 0685.12003 Port. Math. 46, No. 4, 365-384 (1989). Cantor’s product representation for real numbers is extended to the complex field. Just as in the case of real numbers, such product representations are particular cases of representations by infinite series. Unfortunately, the proposed representations are not unique. Reviewer: J.Galambos Cited in 1 Document MSC: 11R04 Algebraic numbers; rings of algebraic integers 11A63 Radix representation; digital problems Keywords:complex numbers; Cantor-type product representation PDFBibTeX XMLCite \textit{A. Knopfmacher}, Port. Math. 46, No. 4, 365--384 (1989; Zbl 0685.12003) Full Text: EuDML