Alternating multizeta values in positive characteristic

2019/09/09 by Ryotaro Harada, Harada, Ryotaro
Computer Science · Mathematics · #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1909.03849

openalex publication_date 2019/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• On the enumeration of irreducible k-fold Euler sums and their roles in knot theory and field theory

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