Interpolation of hypergeometric ratios in a global field of positive characteristic

被引：0

作者：

Anderson, Greg W. ^{[1
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

ANNALES DE L INSTITUT FOURIER | 2007年 / 57卷 / 05期

关键词：

shtuka; hypergeometric ratio; Coleman unit;

D O I：

10.5802/aif.2310

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For each global field of positive characteristic we exhibit many examples of two-variable algebraic functions possessing properties consistent with a conjectural refinement of the Stark conjecture in the function field case recently proposed by the author. All the examples are Coleman units. We obtain our results by studying rank one shtukas in which both zero and pole are generic, i. e., shtukas not associated to any Drinfeld module.

引用

页码：1655 / 1687

页数：33

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