A simple note on the number-theoretic function $$\Omega (n)$$ and Dirichlet L-functions
Winfried Kohnen
Abstract
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Winfried Kohnen
Abstract
Open-access reader
Abstract We give a relation between the orders of potential non-trivial zeros of Dirichlet L-functions and analytic properties of certain Dirichlet series first introduced by Selberg.
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Abstract We give a relation between the orders of potential non-trivial zeros of Dirichlet L-functions and analytic properties of certain Dirichlet series first introduced by Selberg.
Key concepts: Dirichlet series, Analytic number theory, Dirichlet L-function, Mathematics, Omega, General Dirichlet series, Simple (philosophy), Dirichlet kernel