numerical fields.

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On a Particular Equivalent of Extended Riemann Hypothesis for Dirichlet L-functions on Numerical Fields

Authors: Matveev O. A., Matveev V. A.
A condition on summatory function over a set of prime ideals for Dirichlet L-functions on numerical fields is obtained. This condition is equivalent to extended Riemann hypothesis. Analytical properties of Euler products associated with this equivalent are studied