Distibution of values of higher derivatives of L'(s,)/L(s,)

Abstract

In this article we study the value distribution theory for the first derivative of the logarithmic derivative of Dirichlet L-functions, generalizing certain results of Ihara, Matsumoto et. al. related to ``M-functions" for σ = Re(s) > 1. We then discuss how things evolve for higher derivatives.

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