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

Chen, Huei-Jeng

J. Number Theory 148, 153-163 (2015).

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.

MSC:

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

Keywords:

multizeta values; function fields in characteristic \(p\); shuffle relations

References:

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