On logarithmic derivatives of zeta functions in families of global fields

Details On logarithmic derivatives of zeta functions in families of global fields On logarithmic derivatives of zeta functions in families of global fields

2009-03-18

arxiv.org/abs/0903.3105v1

Mathematics

Number Theory

Scientific paper

We prove a formula for the limit of logarithmic derivatives of zeta functions
in families of global fields with an explicit error term. This can be regarded
as a rather far reaching generalization of the explicit Brauer-Siegel theorem
both for number fields and function fields.

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