Data di Pubblicazione:
2019
Citazione:
An explicit Chebotarev density theorem under GRH / L. Grenié, G. Molteni. - In: JOURNAL OF NUMBER THEORY. - ISSN 0022-314X. - 200:(2019), pp. 441-485. [10.1016/j.jnt.2018.12.005]
Abstract:
We prove an explicit version of the Chebotarev theorem for the density of prime ideals with fixed Artin symbol, under the assumption of the validity of the Riemann hypothesis for the Dedekind zeta functions. In appendix we also give some explicit formulas counting non-trivial zeros of Hecke's L-functions, in that case without assuming the truth of the Riemann hypothesis.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Chebotarev theorem; Generalized Riemann Hypothesis; Algebra and Number Theory
Elenco autori:
L. Grenié, G. Molteni
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