Abstract
Recently, the author defined multiple Dedekind zeta values [5] associated to a number K field and a cone C. In this paper we construct explicitly non-trivial examples of mixed Tate motives over the ring of integers in K, for a real quadratic number field K and a particular cone C. The period of such a motive is a multiple Dedekind zeta values at (s 1, s 2) = (1, 2), associated to the pair (K; C), times a nonzero element of K.
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Horozov, I. (2018). Periods of Mixed Tate Motives over Real Quadratic Number Rings. In: Kielanowski, P., Odzijewicz, A., Previato, E. (eds) Geometric Methods in Physics XXXV . Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-63594-1_19
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DOI: https://doi.org/10.1007/978-3-319-63594-1_19
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-63593-4
Online ISBN: 978-3-319-63594-1
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