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arXiv:0903.3105 [math.NT]AbstractReferencesReviewsResources

On logarithmic derivatives of zeta functions in families of global fields

Philippe Lebacque, Alexey Zykin

Published 2009-03-18Version 1

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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