Zeta-like Multizeta Values for \mathbbF_q[t]

2013/12/17 by José Alejandro Lara Rodríguez, Rodríguez, José Alejandro Lara, Dinesh S. Thakur +1 · 1 citation
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #Advanced Mathematical Identities #Analytic Number Theory Research #Alkaloids: synthesis and pharmacology

paper · pdf · doi:10.48550/arxiv.1312.4928

Abstract

We prove and conjecture several relations between multizeta values for \mathbbF_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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