Periods of Mixed Tate Motives over Real Quadratic Number Rings

摘要

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 (si,s2)= (1,2), associated to the pair (K; C), times a nonzero element of K.