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

José Alejandro Lara Rodríguez; Dinesh S. Thakur

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arXiv · 1312.4928

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

José Alejandro Lara Rodríguez·Dinesh S. Thakur

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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.

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José Alejandro Lara Rodríguez, Dinesh S. Thakur. 2013-12-17. Zeta-like Multizeta Values for $\mathbb{F}_q[t]$. https://arxiv.org/abs/1312.4928

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