Anderson-Thakur polynomials and multizeta values in positive characteristic

2015/06/22 by Huei-Jeng Chen, Chen, Huei-Jeng
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1506.06463

openalex publication_date 2015/06/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Multizeta values in positive characteristic were first introduced and studied by Thakur. He and Lara Rodr'ıguez discovered and conjectured certain zeta-like families. Kuan and Lin stated more conjectures about zeta-like multizeta values. In the present paper we study and give a transparent formula for certain Anderson-Thakur polynomials. Besides, we confirm the conjectured zeta-like families.

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