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The metallic numbers and their relation to the Riemann zeta function. (Spanish. English summary) Zbl 1485.11018

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)
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