Zeta-like Multizeta Values for ${\mathbb{F}}_q[t]$

Abstract

We prove and conjecture several relations between multizeta values for ${\mathbb{F}}_q[t]$, focusing on zeta-like values, namely those whose ratio with the zeta value of the same weight is rational (or equivalently algebraic). In particular, we describe them conjecturally fully for $q=2$, or more generally for any $q$ for `even' weight (`eulerian' tuples). We provide some data in support of the guesses.

11 pages

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