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arXiv · 1611.01011

Periods of Mixed Tate Motives over Real Quadratic Number Rings

Ivan Horozov
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Abstract

Recently, the author defined multiple Dedekind zeta values \cite{MDZF} 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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Ivan Horozov. 2016-11-03. Periods of Mixed Tate Motives over Real Quadratic Number Rings. https://arxiv.org/abs/1611.01011

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