Let ψK be the Chebyshev function of a number field K. Under the Generalized Riemann Hypothesis we prove an explicit upper bound for |ψK(x)−x| in terms of the degree and the discriminant of K. The new bound improves significantly on previous known results.
(2016). Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH [journal article - articolo]. In MATHEMATICS OF COMPUTATION. Retrieved from http://hdl.handle.net/10446/58029
Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH
Grenie', L.;
2016-01-01
Abstract
Let ψK be the Chebyshev function of a number field K. Under the Generalized Riemann Hypothesis we prove an explicit upper bound for |ψK(x)−x| in terms of the degree and the discriminant of K. The new bound improves significantly on previous known results.File allegato/i alla scheda:
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