Article ID Journal Published Year Pages File Type
8896959 Journal of Number Theory 2018 24 Pages PDF
Abstract
We provide a conjectural characterization for Fq(t)-linear relations between multizeta values and for the dimensions of their fixed-weight Fq(t) span, as well as many new parameterized families of relations. These two conjectures provide the function field analog of the conjectures provide by Zagier and others. In contrast to the classical case which uses regularized stuffle and shuffle products to produce relations, we will posit that all relations in the function field setting can be generated from a single relation in weight q from Thakur's stuffle product. We also prove many of the currently existing relations in the literature in this setting.
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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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