On algebraic independence of certain multizeta values in characteristic p

JOURNAL OF NUMBER THEORY

卷:173

Article

Mishiba, Yoshinori¹ 

[1] Oyama Coll, Natl Inst Technol, Dept Gen Educ, 771 Nakakuki, Oyama, Tochigi 3230806, Japan

关键词: Multizeta values;    Multiple polylogarithms;    Function fields;    Positive characteristic;    Characteristic p;    Algebraic independence;    t-Motives;    Tannakian category;    Fundamental groups;   

DOI  :  10.1016/j.jnt.2016.09.018

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free