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Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH (1312.4463v4)
Published 16 Dec 2013 in math.NT
Abstract: Let $\psi_\K$ be the Chebyshev function of a number field $\K$. Under GRH we prove an explicit upper bound for $|\psi_\K(x)-x|$ in terms of the degree and the discriminant of $\K$. The new bound improves significantly on previous known results.
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