Zeta-like multizeta values for $\mathbb{F}_q [t]$

José Alejandro Lara Rodríguez () and Dinesh S. Thakur ()
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José Alejandro Lara Rodríguez: Universidad Autónoma de Yucatán
Dinesh S. Thakur: University of Rochester

Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 5, 787-801

Abstract: Abstract We prove and conjecture several relations between multizeta values for F q [t], focusing on the 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.

Keywords: Eulerian; periods; t-motives; transcendence (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s13226-014-0089-0

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