López Novoa, Fidel; González-Aguilera, Andrés A.; Moreno Roque, Eduardo Renato; Ricardo-Zaldívar, Pedro M. The metallic numbers and their relation to the Riemann zeta function. (Spanish. English summary) Zbl 1485.11018 Lect. Mat. 38, No. 1, 19-29 (2017). Summary: In this article a brief introduction to metallic numbers is made. Next, these numbers are linked to the values of the Riemann zeta function at integer arguments. MSC: 11B37 Recurrences 30B70 Continued fractions; complex-analytic aspects 14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) 11J72 Irrationality; linear independence over a field 11M06 \(\zeta (s)\) and \(L(s, \chi)\) 37B20 Notions of recurrence and recurrent behavior in topological dynamical systems 11A55 Continued fractions 11J70 Continued fractions and generalizations 11Y55 Calculation of integer sequences 11Y65 Continued fraction calculations (number-theoretic aspects) Keywords:metallic numbers; Riemann zeta function; irrationality PDFBibTeX XMLCite \textit{F. López Novoa} et al., Lect. Mat. 38, No. 1, 19--29 (2017; Zbl 1485.11018)