On shuffle of double zeta values over \(\mathbb{F}_q [t]\). (English) Zbl 1381.11081

Summary: We study relations between multizeta values for function fields in characteristic \(p\) and give a combinatorial description of what is involved in the relations of double zeta values. The formulas for multizeta values with higher depths are more complicated. At the end of this paper we express \(\zeta(r) \zeta(s, t)\) as an \(\mathbb{F}_p\)-linear combinations of multizeta values.


11M32 Multiple Dirichlet series and zeta functions and multizeta values
11R58 Arithmetic theory of algebraic function fields
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