Colored multizeta values in positive characteristic

2023/06/08 by Ryotaro Harada, Harada, Ryotaro
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2306.05019

openalex publication_date 2023/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study Shen-Shi's colored multizeta values in positive characteristic, which are generalizations of multizeta values in positive characteristic by Thakur. We establish their fundamental properties, that include their non-vanishingness, sum-shuffle relations, t-motivic interpretation and linear independence. In particular, for the linear independence results, we prove that there are no nontrivial k-linear relations among the colored multizeta values of different weights.

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