Determination of the algebraic relations among special Γ-values in positive characteristic

• 成果类型: Article
• 署名作者: Anderson, GW; Brownawell, WD; Papanikolas, MA
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2004.160.237
• 发表日期: 2004
• 页码: 237-313
• 关键词: transcendence; monomials

摘要

We devise a new criterion for linear independence over function fields. Using this tool in the setting of dual t-motives, we find that all algebraic relations among special values of the geometric Gamma-function over F-q[T] are explained by the standard functional equations.