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math.NT2009
Asymptotic properties of Dedekind zeta functions in families of number fields
Alexey Zykin
The main goal of this paper is to prove a formula that expresses the limit behaviour of Dedekind zeta functions for in families of number fields, assuming that the Ge…
math.NT2009
On logarithmic derivatives of zeta functions in families of global fields
Philippe Lebacque, Alexey Zykin
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 reachin…