Periods of Mixed Tate Motives over Real Quadratic Number Rings

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.

Authors and Affiliations

1. Dept. of Mathematics and Computer Science, City University of New York Bronx Community College, CP 315, 2155 University Avenue Bronx, New York, 10453, USA

   Ivan Horozov

Corresponding author

Correspondence to Ivan Horozov .

Editors and Affiliations

1. Departamento de Física, CINVESTAV , Ciudad de México, Mexico

   Piotr Kielanowski

2. University of Białystok, Białystok, Poland

   Anatol Odzijewicz

3. Department of Mathematics and Statistics, Boston University, Boston, Massachusetts, USA

   Emma Previato

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