A note on a refined version of Anderson-Brownawell-Papanikolas criterion

JOURNAL OF NUMBER THEORY

卷:129

Article

Chang, Chieh-Yu^1,2 

[1] Natl Tsing Hua Univ, Div Math, Natl Ctr Theoret Sci, Hsinchu 300, Taiwan

[2] Natl Cent Univ, Dept Math, Chungli 32054, Taiwan

关键词: ABP criterion;    Linear independence;    Algebraic independence;   

DOI  :  10.1016/j.jnt.2008.10.012

来源: Elsevier

【 摘 要 】

We give a refinement of the linear independence criterion over function fields developed by Anderson, Brownavvell and Papanikolas [Greg W. Anderson, W. Dale Brownavvell, Matthew A. Papanikolas, Determination of the algebraic relations among special F-values in positive characteristic, Ann. of Math. 160 (2004) 237-313]. As a consequence, a function field analogue of the Siegel-Shidlovskii theorem is derived. (C) 2008 Elsevier Inc. All rights reserved.

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