Universal Gauss-Thakur sums and L-series

• 成果类型: Article
• 署名作者: Angles, Bruno; Pellarin, Federico
• 署名单位: Universite de Caen Normandie; Centre National de la Recherche Scientifique (CNRS); Ecole Centrale de Lyon; Institut National des Sciences Appliquees de Lyon - INSA Lyon; Universite Claude Bernard Lyon 1; Universite Jean Monnet
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-014-0546-8
• 发表日期: 2015
• 页码: 653-669
• 关键词: values

摘要

We prove that the maximal abelian extension tamely ramified at infinity of the rational function field over is generated by the values at the points in the algebraic closure of of the higher derivatives of the so-called Anderson and Thakur function We deduce a similar property for the special values of the higher derivatives of a new kind of -series introduced by the second author.