On algebraic independence of certain multizeta values in characteristic p

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• 作者：Yoshinori Mishiba ^{mishiba@oyama-ct.ac.jp}
• 关键词：Multizeta values ; Multiple polylogarithms ; Function fields ; Positive characteristic ; Characteristic p ; Algebraic independence ; t-Motives ; Tannakian category ; Fundamental groups
• 刊名：Journal of Number Theory
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：173
• 期：Complete
• 页码：512-528
• 全文大小：428 K
• 卷排序：173

文摘

In this paper, we study multizeta values over function fields in characteristic p  . For each d≥2d≥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.