Alternating multizeta values in positive characteristic

Abstract

We introduce alternating multizeta values in positive characteristic which are generalizations of Thakur multizeta values. We establish their fundamental properties including non-vanishing, sum-shuffle relations, period interpretation and linear independence which is a direct sum result for these values.

arXiv comment27 pages

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Cited by in corpus (1)

• Alternating variants of multiple poly-Bernoulli numbers and finite multiple zeta values in characteristic 0 and p