On the value-distributions of logarithmic derivatives of Dedekind zeta functions
We study the distributions of values of the logarithmic derivatives of the Dedekind zeta functions on a fixed vertical line. The main object is determining and investigating the density functions of such value-distributions for any algebraic number field. We construct the density functions as the Fo...
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Sprache: | eng |
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Zusammenfassung: | We study the distributions of values of the logarithmic derivatives of the
Dedekind zeta functions on a fixed vertical line. The main object is
determining and investigating the density functions of such value-distributions
for any algebraic number field. We construct the density functions as the
Fourier inverse transformations of certain functions represented by infinite
products that come from the Euler products of the Dedekind zeta functions. |
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DOI: | 10.48550/arxiv.1705.07865 |