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math.CV2010
On the Instability of the Riemann Hypothesis over Finite Fields
P. M. Gauthier, N. Tarkhanov
We show that it is possible to approximate the zeta-function of a curve over a finite field by meromorphic functions which satisfy the same functional equation and moreover satisfy…
math.CV2010
Separation of Boundary Singularities for Holomorphic Generators
Mark Elin, David Shoikhet, Nikolai Tarkhanov
We prove a theorem on separation of boundary null points for generators of continuous semigroups of holomorphic self-mappings of the unit disk in the complex plane. Our constructio…