Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896959 | Journal of Number Theory | 2018 | 24 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
George Todd,