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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…
math.NT2008
On Tsfasman--Vlăduţ Invariants of Infinite Global Fields
Philippe Lebacque
In this article we study certain asymptotic properties of global fields. We consider the set of Tsfasman-Vladuts invariants of infinite global fields and answer some natural questi…