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arXiv · 0903.3105

On logarithmic derivatives of zeta functions in families of global fields

Philippe Lebacque·Alexey Zykin
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Abstract

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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Philippe Lebacque, Alexey Zykin. 2009-03-18. On logarithmic derivatives of zeta functions in families of global fields. https://arxiv.org/abs/0903.3105

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