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# Arithmetic L-functions

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Loosely speaking, arithmetic L-functions are those Dirichlet series with appropriate functional equations and Euler products which should satisfy a Riemann Hypothesis. Selberg has given specific \begin{rawhtml}requirements\end{rawhtml} which seem likely to make this definition precise. Arithmetic L-functions arise in many situations: from the representation theory of groups associated with number fields, from automorphic forms on arithmetic groups acting on symmetric spaces, and from the harmonic analysis on these spaces.\begin{rawhtml}

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