Dirichlet L-functions

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

Approximation Polynomials and Dirichlet L-functions Behavior in the Critical Strip

Authors: Matveev O. A.
In this paper a sequence of Dirichlet polynomials that approximate Dirichlet L-functions is constructed. This allows to calculate zeros of L-functions in an effective way and make an assumptions about Dirichlet L-function behavior in the critical strip.