Artin Conjecture for p-adic Galois Representations of Function Fields
Number Theory
2017-02-24 v2
Abstract
For a global function field K of positive characteristic p, we show that Artin 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.
Cite
@article{arxiv.1601.00267,
title = {Artin Conjecture for p-adic Galois Representations of Function Fields},
author = {Ruochuan Liu and Daqing Wan},
journal= {arXiv preprint arXiv:1601.00267},
year = {2017}
}
Comments
Remove the condition 6|k in Lemma 3.8; final version