On algebraic independence of certain multizeta values in characteristic p

2014/01/15 by Yoshinori Mishiba, Mishiba, Yoshinori
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #11G09 (Secondary) #11J93 (Primary) 11M38 #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #Pharmacological Effects of Natural Compounds #math.NT #msc:11G09 #msc:11J93 #msc:11M38

paper · pdf · doi:10.48550/arxiv.1401.3628

14 pages

arxiv created 2014/01/15 · openalex publication_date 2014/01/15 · arxiv updated 2014/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study multizeta values over function fields in characteristic p. For each d ≥ 2, we show that when the constant field has cardinality > 2, the field generated by all multizeta values of depth d is of infinite transcendence degree over the field generated by all single zeta values. As a special case, this gives an affirmative answer to the function field analogue of a question of Y. André.

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