Conditional upper bound for the k-th prime ideal with given Artin symbol
Number Theory
2020-01-20 v2
Abstract
We prove an explicit upper bound for the k-th prime ideal with fixed Artin symbol, under the assumption of the validity of the Riemann hypothesis for the Dedekind zeta functions.
Cite
@article{arxiv.1906.01994,
title = {Conditional upper bound for the k-th prime ideal with given Artin symbol},
author = {Loïc Grenié and Giuseppe Molteni},
journal= {arXiv preprint arXiv:1906.01994},
year = {2020}
}
Comments
We have improved the introduction and made clearer some computations. arXiv admin note: text overlap with arXiv:1709.07609