Universality of Artin L-functions in conductor aspect

摘要

We establish the universality of Artin L-functions associated to a certain family of number fields in conductor aspect. When s = 1 + it and s = 1, our result is unconditional. In the critical strip, we assume a conjecture on large sieve inequality of Artin L-functions, or GRH. (C) 2017 Elsevier Inc. All rights reserved.