Shuffle relations for function field multizeta values. (English) Zbl 1198.11077

Thakur, Dinesh S.

Int. Math. Res. Not. 2010, No. 11, 1973-1980 (2010).

The author shows the existence of shuffle type relations proving that the product of multizeta values for function fields can also be expressed as a sum of multizeta values, so that the \({\mathbb F}_p\)-span of all multizeta values is an algebra.

Reviewer: Florin Nicolae (Berlin)

MSC:

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

Keywords:

multizeta values