Artin conjecture for p-adic Galois representations of function fields

被引：1

作者：

Liu, Ruochuan ^{[1
]}

Wan, Daqing ^{[2
]}

机构：

[1] Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China

[2] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

来源：

MATHEMATICAL RESEARCH LETTERS | 2018年 / 25卷 / 01期

关键词：

DWORKS CONJECTURE; UNIT-ROOT;

D O I：

10.4310/MRL.2018.v25.n1.a6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a global function field K of positive characteristic p, we show that Artin's entireness conjecture for L-functions of geometric p-adic Galois representations of K is true in a non-trivial p-adic disk but is false in the full p-adic plane. In particular, we prove the non-rationality of the geometric unit root L-functions.

引用

页码：143 / 157

页数：15

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